979902000 has 720 divisors, whose sum is σ = 4386174624. Its totient is φ = 201600000.

The previous prime is 979901983. The next prime is 979902019. The reversal of 979902000 is 209979.

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 (36).

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 143 ways as a sum of consecutive naturals, for example, 9701950 + ... + 9702050.

Almost surely, 2^979902000 is an apocalyptic number.

979902000 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 979902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193087312).

979902000 is an abundant number, since it is smaller than the sum of its proper divisors (3406272624).

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

979902000 is a wasteful number, since it uses less digits than its factorization.

979902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 979902000 is about 31303.3863982797. The cubic root of 979902000 is about 993.2552776626.

The spelling of 979902000 in words is "nine hundred seventy-nine million, nine hundred two thousand".