977020800 has 576 divisors, whose sum is σ = 3921891840. Its totient is φ = 212889600.

The previous prime is 977020799. The next prime is 977020801. The reversal of 977020800 is 8020779.

It is an interprime number because it is at equal distance from previous prime (977020799) and next prime (977020801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977020801) 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 71 ways as a sum of consecutive naturals, for example, 14582367 + ... + 14582433.

It is an arithmetic number, because the mean of its divisors is an integer number (6808840).

Almost surely, 2^977020800 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 977020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960945920).

977020800 is an abundant number, since it is smaller than the sum of its proper divisors (2944871040).

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

977020800 is a wasteful number, since it uses less digits than its factorization.

977020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 977020800 is about 31257.3319398825. The cubic root of 977020800 is about 992.2808344670.

The spelling of 977020800 in words is "nine hundred seventy-seven million, twenty thousand, eight hundred".