977163120 has 240 divisors, whose sum is σ = 3462769440. Its totient is φ = 246564864.

The previous prime is 977163037. The next prime is 977163157. The reversal of 977163120 is 21361779.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106199 + ... + 1107081.

It is an arithmetic number, because the mean of its divisors is an integer number (14428206).

Almost surely, 2^977163120 is an apocalyptic number.

977163120 is a gapful number since it is divisible by the number (90) 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 977163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731384720).

977163120 is an abundant number, since it is smaller than the sum of its proper divisors (2485606320).

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

977163120 is a wasteful number, since it uses less digits than its factorization.

977163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 977163120 is about 31259.6084428452. The cubic root of 977163120 is about 992.3290130905.

The spelling of 977163120 in words is "nine hundred seventy-seven million, one hundred sixty-three thousand, one hundred twenty".