978080736 has 48 divisors (see below), whose sum is σ = 2577754368. Its totient is φ = 324720000.

The previous prime is 978080713. The next prime is 978080759. The reversal of 978080736 is 637080879.

It is an interprime number because it is at equal distance from previous prime (978080713) and next prime (978080759).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×978080736² = 1913283852268603392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3801 + ... + 44391.

It is an arithmetic number, because the mean of its divisors is an integer number (53703216).

Almost surely, 2^978080736 is an apocalyptic number.

978080736 is a gapful number since it is divisible by the number (96) 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 978080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288877184).

978080736 is an abundant number, since it is smaller than the sum of its proper divisors (1599673632).

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

978080736 is a wasteful number, since it uses less digits than its factorization.

978080736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40855 (or 40847 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 978080736 is about 31274.2823418860. The cubic root of 978080736 is about 992.6395351451.

The spelling of 978080736 in words is "nine hundred seventy-eight million, eighty thousand, seven hundred thirty-six".