978073920 has 224 divisors, whose sum is σ = 3653942400. Its totient is φ = 245440512.

The previous prime is 978073913. The next prime is 978073927. The reversal of 978073920 is 29370879.

It is an interprime number because it is at equal distance from previous prime (978073913) and next prime (978073927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978073927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143551 + ... + 150209.

Almost surely, 2^978073920 is an apocalyptic number.

978073920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826971200).

978073920 is an abundant number, since it is smaller than the sum of its proper divisors (2675868480).

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

978073920 is a wasteful number, since it uses less digits than its factorization.

978073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 978073920 is about 31274.1733703706. The cubic root of 978073920 is about 992.6372293208.

The spelling of 978073920 in words is "nine hundred seventy-eight million, seventy-three thousand, nine hundred twenty".