76401765216 has 192 divisors, whose sum is σ = 256098931200. Its totient is φ = 21706818048.

The previous prime is 76401765199. The next prime is 76401765227. The reversal of 76401765216 is 61256710467.

76401765216 is a `hidden beast` number, since 76 + 40 + 17 + 6 + 521 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047306 + ... + 1117878.

It is an arithmetic number, because the mean of its divisors is an integer number (1333848600).

Almost surely, 2^76401765216 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 76401765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128049465600).

76401765216 is an abundant number, since it is smaller than the sum of its proper divisors (179697165984).

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

76401765216 is a wasteful number, since it uses less digits than its factorization.

76401765216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70778 (or 70764 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 76401765216 in words is "seventy-six billion, four hundred one million, seven hundred sixty-five thousand, two hundred sixteen".