977404320 has 288 divisors, whose sum is σ = 3612615552. Its totient is φ = 249080832.

The previous prime is 977404283. The next prime is 977404333. The reversal of 977404320 is 23404779.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 893694 + ... + 894786.

It is an arithmetic number, because the mean of its divisors is an integer number (12543804).

Almost surely, 2^977404320 is an apocalyptic number.

977404320 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 977404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806307776).

977404320 is an abundant number, since it is smaller than the sum of its proper divisors (2635211232).

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

977404320 is a wasteful number, since it uses less digits than its factorization.

977404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 977404320 is about 31263.4662185753. The cubic root of 977404320 is about 992.4106542079.

The spelling of 977404320 in words is "nine hundred seventy-seven million, four hundred four thousand, three hundred twenty".