76815690336 has 864 divisors, whose sum is σ = 289867818240. Its totient is φ = 19584322560.

The previous prime is 76815690307. The next prime is 76815690337. The reversal of 76815690336 is 63309651867.

76815690336 is a `hidden beast` number, since 76 + 8 + 1 + 569 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (76815690337) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 704731050 + ... + 704731158.

It is an arithmetic number, because the mean of its divisors is an integer number (335495160).

Almost surely, 2^76815690336 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 76815690336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144933909120).

76815690336 is an abundant number, since it is smaller than the sum of its proper divisors (213052127904).

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

76815690336 is a wasteful number, since it uses less digits than its factorization.

76815690336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 76815690336 in words is "seventy-six billion, eight hundred fifteen million, six hundred ninety thousand, three hundred thirty-six".