976907796480 has 1440 divisors, whose sum is σ = 4384876446720. Its totient is φ = 202144481280.

The previous prime is 976907796463. The next prime is 976907796493. The reversal of 976907796480 is 84697709679.

976907796480 is a `hidden beast` number, since 9 + 76 + 9 + 0 + 7 + 79 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×976907796480³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 976907796399 and 976907796408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4087480201 + ... + 4087480439.

It is an arithmetic number, because the mean of its divisors is an integer number (3045053088).

Almost surely, 2^976907796480 is an apocalyptic number.

976907796480 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 976907796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192438223360).

976907796480 is an abundant number, since it is smaller than the sum of its proper divisors (3407968650240).

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

976907796480 is an equidigital number, since it uses as much as digits as its factorization.

976907796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 976907796480 in words is "nine hundred seventy-six billion, nine hundred seven million, seven hundred ninety-six thousand, four hundred eighty".