977633280 has 512 divisors, whose sum is σ = 3963556800. Its totient is φ = 226492416.

The previous prime is 977633269. The next prime is 977633281. The reversal of 977633280 is 82336779.

It is a happy number.

977633280 is a `hidden beast` number, since 9 + 7 + 7 + 633 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977633281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57507832 + ... + 57507848.

Almost surely, 2^977633280 is an apocalyptic number.

977633280 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 977633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981778400).

977633280 is an abundant number, since it is smaller than the sum of its proper divisors (2985923520).

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

977633280 is a wasteful number, since it uses less digits than its factorization.

977633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 977633280 is about 31267.1277862230. The cubic root of 977633280 is about 992.4881399180.

The spelling of 977633280 in words is "nine hundred seventy-seven million, six hundred thirty-three thousand, two hundred eighty".