76964865120 has 1152 divisors, whose sum is σ = 325465620480. Its totient is φ = 16930529280.

The previous prime is 76964865097. The next prime is 76964865127. The reversal of 76964865120 is 2156846967.

76964865120 is a `hidden beast` number, since 7 + 6 + 96 + 486 + 51 + 20 = 666.

It is a super-2 number, since 2×76964865120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76964865127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 606022497 + ... + 606022623.

It is an arithmetic number, because the mean of its divisors is an integer number (282522240).

Almost surely, 2^76964865120 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 76964865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732810240).

76964865120 is an abundant number, since it is smaller than the sum of its proper divisors (248500755360).

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

76964865120 is a wasteful number, since it uses less digits than its factorization.

76964865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 76964865120 in words is "seventy-six billion, nine hundred sixty-four million, eight hundred sixty-five thousand, one hundred twenty".