976678560 has 960 divisors, whose sum is σ = 4425974784. Its totient is φ = 199065600.

The previous prime is 976678553. The next prime is 976678561. The reversal of 976678560 is 65876679.

It is a happy number.

976678560 is a `hidden beast` number, since 9 + 7 + 6 + 6 + 78 + 560 = 666.

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 = 976678497 and 976678506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976678561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31505745 + ... + 31505775.

Almost surely, 2^976678560 is an apocalyptic number.

976678560 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 976678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212987392).

976678560 is an abundant number, since it is smaller than the sum of its proper divisors (3449296224).

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

976678560 is a wasteful number, since it uses less digits than its factorization.

976678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 976678560 is about 31251.8569048305. The cubic root of 976678560 is about 992.1649591267.

The spelling of 976678560 in words is "nine hundred seventy-six million, six hundred seventy-eight thousand, five hundred sixty".