977320800 has 216 divisors, whose sum is σ = 3473215200. Its totient is φ = 258585600.

The previous prime is 977320783. The next prime is 977320801. The reversal of 977320800 is 8023779.

It is a super-2 number, since 2×977320800² = 1910311892225280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977320801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1072345 + ... + 1073255.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^977320800 is an apocalyptic number.

977320800 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 977320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

977320800 is an abundant number, since it is smaller than the sum of its proper divisors (2495894400).

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

977320800 is a wasteful number, since it uses less digits than its factorization.

977320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 977320800 is about 31262.1304456366. The cubic root of 977320800 is about 992.3823859682.

The spelling of 977320800 in words is "nine hundred seventy-seven million, three hundred twenty thousand, eight hundred".