980982900 has 180 divisors, whose sum is σ = 3203774112. Its totient is φ = 259640640.

The previous prime is 980982881. The next prime is 980982929. The reversal of 980982900 is 9289089.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 1319929 + ... + 1320671.

Almost surely, 2^980982900 is an apocalyptic number.

980982900 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 980982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601887056).

980982900 is an abundant number, since it is smaller than the sum of its proper divisors (2222791212).

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

980982900 is a wasteful number, since it uses less digits than its factorization.

980982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 980982900 is about 31320.6465450508. The cubic root of 980982900 is about 993.6203533253.

The spelling of 980982900 in words is "nine hundred eighty million, nine hundred eighty-two thousand, nine hundred".