979921800 has 672 divisors, whose sum is σ = 4098487680. Its totient is φ = 214617600.

The previous prime is 979921757. The next prime is 979921841. The reversal of 979921800 is 8129979.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20849377 + ... + 20849423.

It is an arithmetic number, because the mean of its divisors is an integer number (6098940).

Almost surely, 2^979921800 is an apocalyptic number.

979921800 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 979921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049243840).

979921800 is an abundant number, since it is smaller than the sum of its proper divisors (3118565880).

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

979921800 is a wasteful number, since it uses less digits than its factorization.

979921800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 979921800 is about 31303.7026563951. The cubic root of 979921800 is about 993.2619675568.

The spelling of 979921800 in words is "nine hundred seventy-nine million, nine hundred twenty-one thousand, eight hundred".