977083120 has 80 divisors (see below), whose sum is σ = 2454217920. Its totient is φ = 359626752.

The previous prime is 977083073. The next prime is 977083123. The reversal of 977083120 is 21380779.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 977083120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977083123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372052 + ... + 374668.

It is an arithmetic number, because the mean of its divisors is an integer number (30677724).

Almost surely, 2^977083120 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 977083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227108960).

977083120 is an abundant number, since it is smaller than the sum of its proper divisors (1477134800).

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

977083120 is a wasteful number, since it uses less digits than its factorization.

977083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 977083120 is about 31258.3288100948. The cubic root of 977083120 is about 992.3019318093.

The spelling of 977083120 in words is "nine hundred seventy-seven million, eighty-three thousand, one hundred twenty".