988876800 has 468 divisors, whose sum is σ = 3763109220. Its totient is φ = 247726080.

The previous prime is 988876787. The next prime is 988876807. The reversal of 988876800 is 8678889.

It can be written as a sum of positive squares in 6 ways, for example, as 9437184 + 979439616 = 3072^2 + 31296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988876807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26726382 + ... + 26726418.

Almost surely, 2^988876800 is an apocalyptic number.

988876800 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 988876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881554610).

988876800 is an abundant number, since it is smaller than the sum of its proper divisors (2774232420).

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

988876800 is a wasteful number, since it uses less digits than its factorization.

988876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 988876800 is about 31446.4115599857. The cubic root of 988876800 is about 996.2784337929.

The spelling of 988876800 in words is "nine hundred eighty-eight million, eight hundred seventy-six thousand, eight hundred".