977505220 has 48 divisors (see below), whose sum is σ = 2117445120. Its totient is φ = 378774144.

The previous prime is 977505203. The next prime is 977505223. The reversal of 977505220 is 22505779.

977505220 is a nontrivial binomial coefficient, being equal to C(44216, 2).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 977505220.

It is not an unprimeable number, because it can be changed into a prime (977505223) 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, 174097 + ... + 179623.

It is an arithmetic number, because the mean of its divisors is an integer number (44113440).

Almost surely, 2^977505220 is an apocalyptic number.

977505220 is the 44215-th triangular number and also the 22108-th hexagonal number.

977505220 is the 14739-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977505220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058722560).

977505220 is an abundant number, since it is smaller than the sum of its proper divisors (1139939900).

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

977505220 is a wasteful number, since it uses less digits than its factorization.

977505220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 977505220 is about 31265.0798815548. The cubic root of 977505220 is about 992.4448027472. Note that the first 3 decimals are identical.

The spelling of 977505220 in words is "nine hundred seventy-seven million, five hundred five thousand, two hundred twenty".