978526900 has 54 divisors (see below), whose sum is σ = 2299346322. Its totient is φ = 361296000.

The previous prime is 978526891. The next prime is 978526907. The reversal of 978526900 is 9625879.

It can be written as a sum of positive squares in 9 ways, for example, as 764080164 + 214446736 = 27642^2 + 14644^2 .

It is a super-2 number, since 2×978526900² = 1915029788047220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978526907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12051 + ... + 45850.

Almost surely, 2^978526900 is an apocalyptic number.

It is an amenable number.

978526900 is an abundant number, since it is smaller than the sum of its proper divisors (1320819422).

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

978526900 is a wasteful number, since it uses less digits than its factorization.

978526900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57941 (or 57921 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 978526900 is about 31281.4146099565. The cubic root of 978526900 is about 992.7904472612.

It can be divided in two parts, 978 and 526900, that added together give a triangular number (527878 = T₁₀₂₇).

The spelling of 978526900 in words is "nine hundred seventy-eight million, five hundred twenty-six thousand, nine hundred".