977709312 has 144 divisors (see below), whose sum is σ = 2970177280. Its totient is φ = 317011968.

The previous prime is 977709289. The next prime is 977709319. The reversal of 977709312 is 213907779.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (977709319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253833 + ... + 257655.

Almost surely, 2^977709312 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 977709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485088640).

977709312 is an abundant number, since it is smaller than the sum of its proper divisors (1992467968).

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

977709312 is a wasteful number, since it uses less digits than its factorization.

977709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 977709312 is about 31268.3436081926. The cubic root of 977709312 is about 992.5138683459.

The spelling of 977709312 in words is "nine hundred seventy-seven million, seven hundred nine thousand, three hundred twelve".