76958804160 has 1344 divisors, whose sum is σ = 344622729600. Its totient is φ = 16108388352.

The previous prime is 76958804147. The next prime is 76958804171. The reversal of 76958804160 is 6140885967.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 76958804097 and 76958804106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2079967662 + ... + 2079967698.

Almost surely, 2^76958804160 is an apocalyptic number.

76958804160 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 76958804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172311364800).

76958804160 is an abundant number, since it is smaller than the sum of its proper divisors (267663925440).

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

76958804160 is a wasteful number, since it uses less digits than its factorization.

76958804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 76958804160 in words is "seventy-six billion, nine hundred fifty-eight million, eight hundred four thousand, one hundred sixty".