978002323600 has 135 divisors (see below), whose sum is σ = 2371084689931. Its totient is φ = 387664480000.

The previous prime is 978002323589. The next prime is 978002323631. The reversal of 978002323600 is 6323200879.

The square root of 978002323600 is 988940.

It is a perfect power (a square), and thus also a powerful number.

978002323600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 225522411664 + 752479911936 = 474892^2 + 867456^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3896423475 + ... + 3896423725.

Almost surely, 2^978002323600 is an apocalyptic number.

978002323600 is the 988940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978002323600

978002323600 is an abundant number, since it is smaller than the sum of its proper divisors (1393082366331).

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

978002323600 is an equidigital number, since it uses as much as digits as its factorization.

978002323600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 978002323600 in words is "nine hundred seventy-eight billion, two million, three hundred twenty-three thousand, six hundred".