977013120 has 256 divisors, whose sum is σ = 3390724800. Its totient is φ = 238288896.

The previous prime is 977013101. The next prime is 977013127. The reversal of 977013120 is 21310779.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977013127) 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 31 ways as a sum of consecutive naturals, for example, 1207276 + ... + 1208084.

Almost surely, 2^977013120 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 977013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695362400).

977013120 is an abundant number, since it is smaller than the sum of its proper divisors (2413711680).

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

977013120 is a wasteful number, since it uses less digits than its factorization.

977013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 977013120 is about 31257.2090884647. The cubic root of 977013120 is about 992.2782344756.

Adding to 977013120 its reverse (21310779), we get a palindrome (998323899).

The spelling of 977013120 in words is "nine hundred seventy-seven million, thirteen thousand, one hundred twenty".