977939160 has 256 divisors, whose sum is σ = 3374784000. Its totient is φ = 224501760.

The previous prime is 977939143. The next prime is 977939167. The reversal of 977939160 is 61939779.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977939167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258304 + ... + 2258736.

It is an arithmetic number, because the mean of its divisors is an integer number (13182750).

Almost surely, 2^977939160 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 977939160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

977939160 is an abundant number, since it is smaller than the sum of its proper divisors (2396844840).

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

977939160 is a wasteful number, since it uses less digits than its factorization.

977939160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 51.

The square root of 977939160 is about 31272.0188027572. The cubic root of 977939160 is about 992.5916383778.

It can be divided in two parts, 97793 and 9160, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 977939160 in words is "nine hundred seventy-seven million, nine hundred thirty-nine thousand, one hundred sixty".