76790993760 has 864 divisors, whose sum is σ = 311221546272. Its totient is φ = 17736744960.

The previous prime is 76790993759. The next prime is 76790993791. The reversal of 76790993760 is 6739909767.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231996795 + ... + 231997125.

It is an arithmetic number, because the mean of its divisors is an integer number (360210123).

Almost surely, 2^76790993760 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 76790993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155610773136).

76790993760 is an abundant number, since it is smaller than the sum of its proper divisors (234430552512).

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

76790993760 is a wasteful number, since it uses less digits than its factorization.

76790993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The spelling of 76790993760 in words is "seventy-six billion, seven hundred ninety million, nine hundred ninety-three thousand, seven hundred sixty".