980812800 has 660 divisors, whose sum is σ = 4054140816. Its totient is φ = 232243200.

The previous prime is 980812787. The next prime is 980812817. The reversal of 980812800 is 8218089.

It is a tau number, because it is divible by the number of its divisors (660).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809579 + ... + 22809621.

Almost surely, 2^980812800 is an apocalyptic number.

980812800 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 980812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027070408).

980812800 is an abundant number, since it is smaller than the sum of its proper divisors (3073328016).

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

980812800 is a wasteful number, since it uses less digits than its factorization.

980812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 980812800 is about 31317.9309661414. The cubic root of 980812800 is about 993.5629195712.

The spelling of 980812800 in words is "nine hundred eighty million, eight hundred twelve thousand, eight hundred".