977085312 has 256 divisors, whose sum is σ = 3096230400. Its totient is φ = 267264000.

The previous prime is 977085301. The next prime is 977085337. The reversal of 977085312 is 213580779.

It is a super-2 number, since 2×977085312² = 1909391413852274688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9674062 + ... + 9674162.

It is an arithmetic number, because the mean of its divisors is an integer number (12094650).

Almost surely, 2^977085312 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 977085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548115200).

977085312 is an abundant number, since it is smaller than the sum of its proper divisors (2119145088).

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

977085312 is a wasteful number, since it uses less digits than its factorization.

977085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 977085312 is about 31258.3638727301. The cubic root of 977085312 is about 992.3026738561.

The spelling of 977085312 in words is "nine hundred seventy-seven million, eighty-five thousand, three hundred twelve".