76697849760 has 576 divisors, whose sum is σ = 303436627200. Its totient is φ = 16187179008.

The previous prime is 76697849759. The next prime is 76697849819. The reversal of 76697849760 is 6794879667.

It is a super-4 number, since 4×76697849760⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15685396 + ... + 15690284.

It is an arithmetic number, because the mean of its divisors is an integer number (526799700).

Almost surely, 2^76697849760 is an apocalyptic number.

76697849760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76697849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151718313600).

76697849760 is an abundant number, since it is smaller than the sum of its proper divisors (226738777440).

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

76697849760 is a wasteful number, since it uses less digits than its factorization.

76697849760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 76697849760 in words is "seventy-six billion, six hundred ninety-seven million, eight hundred forty-nine thousand, seven hundred sixty".