977545760 has 48 divisors (see below), whose sum is σ = 2318535576. Its totient is φ = 389480448.

The previous prime is 977545733. The next prime is 977545769. The reversal of 977545760 is 67545779.

It can be written as a sum of positive squares in 4 ways, for example, as 907455376 + 70090384 = 30124^2 + 8372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 977545699 and 977545708.

It is not an unprimeable number, because it can be changed into a prime (977545769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29234 + ... + 53006.

Almost surely, 2^977545760 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 977545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159267788).

977545760 is an abundant number, since it is smaller than the sum of its proper divisors (1340989816).

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

977545760 is a wasteful number, since it uses less digits than its factorization.

977545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24045 (or 24037 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 50.

The square root of 977545760 is about 31265.7282019786. The cubic root of 977545760 is about 992.4585224203.

The spelling of 977545760 in words is "nine hundred seventy-seven million, five hundred forty-five thousand, seven hundred sixty".