977830272 has 128 divisors (see below), whose sum is σ = 2979379200. Its totient is φ = 315394560.

The previous prime is 977830213. The next prime is 977830283. The reversal of 977830272 is 272038779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102573 + ... + 111699.

It is an arithmetic number, because the mean of its divisors is an integer number (23276400).

Almost surely, 2^977830272 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 977830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489689600).

977830272 is an abundant number, since it is smaller than the sum of its proper divisors (2001548928).

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

977830272 is a wasteful number, since it uses less digits than its factorization.

977830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 977830272 is about 31270.2777729908. The cubic root of 977830272 is about 992.5547971869.

The spelling of 977830272 in words is "nine hundred seventy-seven million, eight hundred thirty thousand, two hundred seventy-two".