982764900 has 504 divisors, whose sum is σ = 3705715944. Its totient is φ = 223948800.

The previous prime is 982764899. The next prime is 982764929. The reversal of 982764900 is 9467289.

It is a happy number.

982764900 is a `hidden beast` number, since 98 + 2 + 76 + 490 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 587868516 + 394896384 = 24246^2 + 19872^2 .

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

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, 16110870 + ... + 16110930.

It is an arithmetic number, because the mean of its divisors is an integer number (7352611).

Almost surely, 2^982764900 is an apocalyptic number.

982764900 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 982764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852857972).

982764900 is an abundant number, since it is smaller than the sum of its proper divisors (2722951044).

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

982764900 is a wasteful number, since it uses less digits than its factorization.

982764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 982764900 is about 31349.0813262526. The cubic root of 982764900 is about 994.2216415523.

The spelling of 982764900 in words is "nine hundred eighty-two million, seven hundred sixty-four thousand, nine hundred".