977824960 has 56 divisors (see below), whose sum is σ = 2661086880. Its totient is φ = 335253504.

The previous prime is 977824951. The next prime is 977825029. The reversal of 977824960 is 69428779.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×977824960² = 1912283304798003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 977824898 and 977824907.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216025 + ... + 220504.

Almost surely, 2^977824960 is an apocalyptic number.

It is an amenable number.

977824960 is an abundant number, since it is smaller than the sum of its proper divisors (1683261920).

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

977824960 is a wasteful number, since it uses less digits than its factorization.

977824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436553 (or 436543 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 977824960 is about 31270.1928359900. The cubic root of 977824960 is about 992.5529998536.

The spelling of 977824960 in words is "nine hundred seventy-seven million, eight hundred twenty-four thousand, nine hundred sixty".