977541600 has 288 divisors, whose sum is σ = 3755759616. Its totient is φ = 216115200.

The previous prime is 977541533. The next prime is 977541601. The reversal of 977541600 is 6145779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977541601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519862 + ... + 521738.

It is an arithmetic number, because the mean of its divisors is an integer number (13040832).

Almost surely, 2^977541600 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 977541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877879808).

977541600 is an abundant number, since it is smaller than the sum of its proper divisors (2778218016).

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

977541600 is a wasteful number, since it uses less digits than its factorization.

977541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 977541600 is about 31265.6616753908. The cubic root of 977541600 is about 992.4571145976.

The spelling of 977541600 in words is "nine hundred seventy-seven million, five hundred forty-one thousand, six hundred".