978342800 has 30 divisors (see below), whose sum is σ = 2350469538. Its totient is φ = 391336960.

The previous prime is 978342797. The next prime is 978342803. The reversal of 978342800 is 8243879.

It is an interprime number because it is at equal distance from previous prime (978342797) and next prime (978342803).

It can be written as a sum of positive squares in 3 ways, for example, as 279692176 + 698650624 = 16724^2 + 26432^2 .

It is not an unprimeable number, because it can be changed into a prime (978342803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1222529 + ... + 1223328.

Almost surely, 2^978342800 is an apocalyptic number.

It is an amenable number.

978342800 is an abundant number, since it is smaller than the sum of its proper divisors (1372126738).

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

978342800 is a wasteful number, since it uses less digits than its factorization.

978342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445875 (or 2445864 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 978342800 is about 31278.4718296786. The cubic root of 978342800 is about 992.7281821752.

The spelling of 978342800 in words is "nine hundred seventy-eight million, three hundred forty-two thousand, eight hundred".