977281872 has 180 divisors, whose sum is σ = 3102230016. Its totient is φ = 264297600.

The previous prime is 977281871. The next prime is 977281883. The reversal of 977281872 is 278182779.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977281871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 848497 + ... + 849647.

Almost surely, 2^977281872 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 977281872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551115008).

977281872 is an abundant number, since it is smaller than the sum of its proper divisors (2124948144).

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

977281872 is a wasteful number, since it uses less digits than its factorization.

977281872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1182 counting only the distinct ones).

The product of its digits is 790272, while the sum is 51.

The square root of 977281872 is about 31261.5078331164. The cubic root of 977281872 is about 992.3692098189.

The spelling of 977281872 in words is "nine hundred seventy-seven million, two hundred eighty-one thousand, eight hundred seventy-two".