981676800 has 864 divisors, whose sum is σ = 4258060800. Its totient is φ = 218972160.

The previous prime is 981676793. The next prime is 981676811. The reversal of 981676800 is 8676189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42681589 + ... + 42681611.

Almost surely, 2^981676800 is an apocalyptic number.

981676800 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 981676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129030400).

981676800 is an abundant number, since it is smaller than the sum of its proper divisors (3276384000).

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

981676800 is a wasteful number, since it uses less digits than its factorization.

981676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 981676800 is about 31331.7219443809. The cubic root of 981676800 is about 993.8545778160.

The spelling of 981676800 in words is "nine hundred eighty-one million, six hundred seventy-six thousand, eight hundred".