977901120 has 896 divisors, whose sum is σ = 4447641600. Its totient is φ = 197074944.

The previous prime is 977901109. The next prime is 977901137. The reversal of 977901120 is 21109779.

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 127 ways as a sum of consecutive naturals, for example, 26429742 + ... + 26429778.

Almost surely, 2^977901120 is an apocalyptic number.

977901120 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 977901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223820800).

977901120 is an abundant number, since it is smaller than the sum of its proper divisors (3469740480).

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

977901120 is a wasteful number, since it uses less digits than its factorization.

977901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 977901120 is about 31271.4105853893. The cubic root of 977901120 is about 992.5787682263.

The spelling of 977901120 in words is "nine hundred seventy-seven million, nine hundred one thousand, one hundred twenty".