977920000 has 140 divisors (see below), whose sum is σ = 2456663616. Its totient is φ = 389120000.

The previous prime is 977919989. The next prime is 977920039. The reversal of 977920000 is 29779.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119905 + ... + 5120095.

Almost surely, 2^977920000 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 977920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228331808).

977920000 is an abundant number, since it is smaller than the sum of its proper divisors (1478743616).

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

977920000 is an frugal number, since it uses more digits than its factorization.

977920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 977920000 is about 31271.7124571073. The cubic root of 977920000 is about 992.5851559773.

Adding to 977920000 its reverse (29779), we get a palindrome (977949779).

The spelling of 977920000 in words is "nine hundred seventy-seven million, nine hundred twenty thousand".