977005920 has 384 divisors, whose sum is σ = 3567255552. Its totient is φ = 222566400.

The previous prime is 977005919. The next prime is 977005921. The reversal of 977005920 is 29500779.

It is an interprime number because it is at equal distance from previous prime (977005919) and next prime (977005921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977005921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7692897 + ... + 7693023.

It is an arithmetic number, because the mean of its divisors is an integer number (9289728).

Almost surely, 2^977005920 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 977005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783627776).

977005920 is an abundant number, since it is smaller than the sum of its proper divisors (2590249632).

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

977005920 is a wasteful number, since it uses less digits than its factorization.

977005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 977005920 is about 31257.0939148220. The cubic root of 977005920 is about 992.2757969714.

The spelling of 977005920 in words is "nine hundred seventy-seven million, five thousand, nine hundred twenty".