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764640816 = 243374110501
BaseRepresentation
bin101101100100110…
…111111000110000
31222021210210000020
4231210313320300
53031222001231
6203512523440
724643224342
oct5544677060
91867723006
10764640816
1136268aa65
121940b0580
13c25527b4
14737a3292
15471e0396
hex2d937e30

764640816 has 80 divisors (see below), whose sum is σ = 2078387808. Its totient is φ = 241920000.

The previous prime is 764640803. The next prime is 764640817. The reversal of 764640816 is 618046467.

It is not an unprimeable number, because it can be changed into a prime (764640817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67566 + ... + 78066.

Almost surely, 2764640816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764640816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039193904).

764640816 is an abundant number, since it is smaller than the sum of its proper divisors (1313746992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

764640816 is a wasteful number, since it uses less digits than its factorization.

764640816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10590 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 764640816 is about 27652.1394470663. The cubic root of 764640816 is about 914.4342670263.

The spelling of 764640816 in words is "seven hundred sixty-four million, six hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1968 3034 4551 6068 9102 10501 12136 18204 21002 24272 31503 36408 42004 63006 72816 84008 126012 168016 252024 388537 430541 504048 777074 861082 1165611 1291623 1554148 1722164 2331222 2583246 3108296 3444328 4662444 5166492 6216592 6888656 9324888 10332984 15930017 18649776 20665968 31860034 47790051 63720068 95580102 127440136 191160204 254880272 382320408 764640816