977256900 has 360 divisors, whose sum is σ = 3448279296. Its totient is φ = 238464000.

The previous prime is 977256859. The next prime is 977256923. The reversal of 977256900 is 9652779.

It is a super-2 number, since 2×977256900² = 1910062097195220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6471825 + ... + 6471975.

Almost surely, 2^977256900 is an apocalyptic number.

977256900 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 977256900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

977256900 is an abundant number, since it is smaller than the sum of its proper divisors (2471022396).

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

977256900 is a wasteful number, since it uses less digits than its factorization.

977256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 977256900 is about 31261.1084256461. The cubic root of 977256900 is about 992.3607572404.

The spelling of 977256900 in words is "nine hundred seventy-seven million, two hundred fifty-six thousand, nine hundred".