977966000 has 80 divisors (see below), whose sum is σ = 2579754528. Its totient is φ = 355616000.

The previous prime is 977965997. The next prime is 977966027. The reversal of 977966000 is 669779.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227 + ... + 44226.

Almost surely, 2^977966000 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 977966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289877264).

977966000 is an abundant number, since it is smaller than the sum of its proper divisors (1601788528).

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

977966000 is a wasteful number, since it uses less digits than its factorization.

977966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44487 (or 44471 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The square root of 977966000 is about 31272.4479374417. The cubic root of 977966000 is about 992.6007190095.

The spelling of 977966000 in words is "nine hundred seventy-seven million, nine hundred sixty-six thousand".