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764320 = 25517281
BaseRepresentation
bin10111010100110100000
31102211110011
42322212200
5143424240
624214304
76332224
oct2724640
91384404
10764320
11482277
1230a394
13209b7b
1415c784
151016ea
hexba9a0

764320 has 48 divisors (see below), whose sum is σ = 1918728. Its totient is φ = 286720.

The previous prime is 764317. The next prime is 764321. The reversal of 764320 is 23467.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 38416 = 852^2 + 196^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 764291 and 764300.

It is not an unprimeable number, because it can be changed into a prime (764321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580 + ... + 2860.

2764320 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 764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959364).

764320 is an abundant number, since it is smaller than the sum of its proper divisors (1154408).

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

764320 is a wasteful number, since it uses less digits than its factorization.

764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 764320 is about 874.2539676776. The cubic root of 764320 is about 91.4306361141.

Adding to 764320 its reverse (23467), we get a palindrome (787787).

The spelling of 764320 in words is "seven hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 281 340 544 562 680 1124 1360 1405 2248 2720 2810 4496 4777 5620 8992 9554 11240 19108 22480 23885 38216 44960 47770 76432 95540 152864 191080 382160 764320