977933376 has 126 divisors (see below), whose sum is σ = 3260807550. Its totient is φ = 279401472.

The previous prime is 977933323. The next prime is 977933417. The reversal of 977933376 is 673339779.

It can be written as a sum of positive squares in only one way, i.e., 695693376 + 282240000 = 26376^2 + 16800^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10900 + ... + 45548.

It is an arithmetic number, because the mean of its divisors is an integer number (25879425).

Almost surely, 2^977933376 is an apocalyptic number.

977933376 is a gapful number since it is divisible by the number (96) 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 977933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630403775).

977933376 is an abundant number, since it is smaller than the sum of its proper divisors (2282874174).

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

977933376 is a wasteful number, since it uses less digits than its factorization.

977933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34681 (or 34661 counting only the distinct ones).

The product of its digits is 4500846, while the sum is 54.

The square root of 977933376 is about 31271.9263237812. The cubic root of 977933376 is about 992.5896814867.

The spelling of 977933376 in words is "nine hundred seventy-seven million, nine hundred thirty-three thousand, three hundred seventy-six".