976785796768320 has 4480 divisors, whose sum is σ = 4813741025280000. Its totient is φ = 185645134725120.

The previous prime is 976785796768277. The next prime is 976785796768333. The reversal of 976785796768320 is 23867697587679.

It is a happy number.

976785796768320 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 8 + 579 + 6 + 7 + 6 + 8 + 3 + 20 = 666.

It is a super-2 number, since 2×976785796768320² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 53885675097 + ... + 53885693223.

Almost surely, 2^{976785796768320} is an apocalyptic number.

976785796768320 is a gapful number since it is divisible by the number (90) 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 976785796768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406870512640000).

976785796768320 is an abundant number, since it is smaller than the sum of its proper divisors (3836955228511680).

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

976785796768320 is a wasteful number, since it uses less digits than its factorization.

976785796768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18203 counting only the distinct ones).

The product of its (nonzero) digits is 80655160320, while the sum is 90.

The spelling of 976785796768320 in words is "nine hundred seventy-six trillion, seven hundred eighty-five billion, seven hundred ninety-six million, seven hundred sixty-eight thousand, three hundred twenty".