992908800 has 720 divisors, whose sum is σ = 4178504880. Its totient is φ = 230031360.

The previous prime is 992908799. The next prime is 992908811. The reversal of 992908800 is 8809299.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 58406392 + ... + 58406408.

It is an arithmetic number, because the mean of its divisors is an integer number (5803479).

Almost surely, 2^992908800 is an apocalyptic number.

992908800 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 992908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089252440).

992908800 is an abundant number, since it is smaller than the sum of its proper divisors (3185596080).

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

992908800 is a wasteful number, since it uses less digits than its factorization.

992908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 992908800 is about 31510.4554076897. The cubic root of 992908800 is about 997.6306573156.

The spelling of 992908800 in words is "nine hundred ninety-two million, nine hundred eight thousand, eight hundred".