976760064 has 216 divisors, whose sum is σ = 3267718272. Its totient is φ = 274821120.

The previous prime is 976760039. The next prime is 976760087. The reversal of 976760064 is 460067679.

It is a super-3 number, since 3×976760064³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144662 + ... + 1145514.

Almost surely, 2^976760064 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 976760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633859136).

976760064 is an abundant number, since it is smaller than the sum of its proper divisors (2290958208).

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

976760064 is a wasteful number, since it uses less digits than its factorization.

976760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 976760064 is about 31253.1608641430. The cubic root of 976760064 is about 992.1925571399.

The spelling of 976760064 in words is "nine hundred seventy-six million, seven hundred sixty thousand, sixty-four".