977625000 has 336 divisors, whose sum is σ = 3656203200. Its totient is φ = 234000000.

The previous prime is 977624987. The next prime is 977625023. The reversal of 977625000 is 526779.

977625000 is a `hidden beast` number, since 97 + 7 + 62 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12374961 + ... + 12375039.

Almost surely, 2^977625000 is an apocalyptic number.

977625000 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 977625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828101600).

977625000 is an abundant number, since it is smaller than the sum of its proper divisors (2678578200).

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

977625000 is a wasteful number, since it uses less digits than its factorization.

977625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 977625000 is about 31266.9953785137. The cubic root of 977625000 is about 992.4853379726.

The spelling of 977625000 in words is "nine hundred seventy-seven million, six hundred twenty-five thousand".