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768083064 = 23374571923
BaseRepresentation
bin101101110010000…
…000010001111000
31222112021122212220
4231302000101320
53033112124224
6204114404040
725014412140
oct5562002170
91875248786
10768083064
113646211a1
12195290620
13c3189528
147401b920
1547670279
hex2dc80478

768083064 has 32 divisors (see below), whose sum is σ = 2194523520. Its totient is φ = 219452256.

The previous prime is 768083059. The next prime is 768083087. The reversal of 768083064 is 460380867.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285794 + ... + 2286129.

It is an arithmetic number, because the mean of its divisors is an integer number (68578860).

Almost surely, 2768083064 is an apocalyptic number.

It is an amenable number.

768083064 is an abundant number, since it is smaller than the sum of its proper divisors (1426440456).

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

768083064 is a wasteful number, since it uses less digits than its factorization.

768083064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571939 (or 4571935 counting only the distinct ones).

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

The square root of 768083064 is about 27714.3115375432. The cubic root of 768083064 is about 915.8044083191.

The spelling of 768083064 in words is "seven hundred sixty-eight million, eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4571923 9143846 13715769 18287692 27431538 32003461 36575384 54863076 64006922 96010383 109726152 128013844 192020766 256027688 384041532 768083064