978800032 has 48 divisors (see below), whose sum is σ = 2204435520. Its totient is φ = 419079168.

The previous prime is 978800023. The next prime is 978800033. The reversal of 978800032 is 230008879.

978800032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 978799964 and 978800000.

It is not an unprimeable number, because it can be changed into a prime (978800033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396819 + ... + 399277.

It is an arithmetic number, because the mean of its divisors is an integer number (45925740).

Almost surely, 2^978800032 is an apocalyptic number.

It is an amenable number.

978800032 is an abundant number, since it is smaller than the sum of its proper divisors (1225635488).

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

978800032 is a wasteful number, since it uses less digits than its factorization.

978800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 978800032 is about 31285.7800286328. The cubic root of 978800032 is about 992.8828097756.

The spelling of 978800032 in words is "nine hundred seventy-eight million, eight hundred thousand, thirty-two".