977879040 has 240 divisors, whose sum is σ = 3284039808. Its totient is φ = 247988224.

The previous prime is 977879029. The next prime is 977879057. The reversal of 977879040 is 40978779.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5652394 + ... + 5652566.

Almost surely, 2^977879040 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 977879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642019904).

977879040 is an abundant number, since it is smaller than the sum of its proper divisors (2306160768).

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

977879040 is a wasteful number, since it uses less digits than its factorization.

977879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 977879040 is about 31271.0575452766. The cubic root of 977879040 is about 992.5712977013.

The spelling of 977879040 in words is "nine hundred seventy-seven million, eight hundred seventy-nine thousand, forty".