76794600960 has 1280 divisors, whose sum is σ = 348457697280. Its totient is φ = 15566929920.

The previous prime is 76794600959. The next prime is 76794600977. The reversal of 76794600960 is 6900649767.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 76794600897 and 76794600906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250145127 + ... + 250145433.

It is an arithmetic number, because the mean of its divisors is an integer number (272232576).

Almost surely, 2^76794600960 is an apocalyptic number.

76794600960 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 76794600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174228848640).

76794600960 is an abundant number, since it is smaller than the sum of its proper divisors (271663096320).

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

76794600960 is a wasteful number, since it uses less digits than its factorization.

76794600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 76794600960 in words is "seventy-six billion, seven hundred ninety-four million, six hundred thousand, nine hundred sixty".