977904096 has 96 divisors (see below), whose sum is σ = 2770820640. Its totient is φ = 300201984.

The previous prime is 977904047. The next prime is 977904101. The reversal of 977904096 is 690409779.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 914250 + ... + 915318.

It is an arithmetic number, because the mean of its divisors is an integer number (28862715).

Almost surely, 2^977904096 is an apocalyptic number.

977904096 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 977904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385410320).

977904096 is an abundant number, since it is smaller than the sum of its proper divisors (1792916544).

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

977904096 is a wasteful number, since it uses less digits than its factorization.

977904096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 977904096 is about 31271.4581687519. The cubic root of 977904096 is about 992.5797751145.

The spelling of 977904096 in words is "nine hundred seventy-seven million, nine hundred four thousand, ninety-six".