977534976 has 152 divisors (see below), whose sum is σ = 2868898464. Its totient is φ = 293601280.

The previous prime is 977534963. The next prime is 977534977. The reversal of 977534976 is 679435779.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (977534977) 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, 8650696 + ... + 8650808.

It is an arithmetic number, because the mean of its divisors is an integer number (18874332).

Almost surely, 2^977534976 is an apocalyptic number.

977534976 is a gapful number since it is divisible by the number (96) 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 977534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434449232).

977534976 is an abundant number, since it is smaller than the sum of its proper divisors (1891363488).

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

977534976 is an equidigital number, since it uses as much as digits as its factorization.

977534976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 57.

The square root of 977534976 is about 31265.5557443011. Note that the first 3 decimals coincide. The cubic root of 977534976 is about 992.4548729025.

The spelling of 977534976 in words is "nine hundred seventy-seven million, five hundred thirty-four thousand, nine hundred seventy-six".