978903120 has 320 divisors, whose sum is σ = 3499776000. Its totient is φ = 224501760.

The previous prime is 978903103. The next prime is 978903139. The reversal of 978903120 is 21309879.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2804706 + ... + 2805054.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^978903120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

978903120 is an abundant number, since it is smaller than the sum of its proper divisors (2520872880).

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

978903120 is a wasteful number, since it uses less digits than its factorization.

978903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 978903120 is about 31287.4275069076. The cubic root of 978903120 is about 992.9176656218.

The spelling of 978903120 in words is "nine hundred seventy-eight million, nine hundred three thousand, one hundred twenty".