978891760 has 160 divisors (see below), whose sum is σ = 2851817472. Its totient is φ = 303575040.

The previous prime is 978891757. The next prime is 978891763. The reversal of 978891760 is 67198879.

It is an interprime number because it is at equal distance from previous prime (978891757) and next prime (978891763).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978891763) 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, 2260504 + ... + 2260936.

Almost surely, 2^978891760 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 978891760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425908736).

978891760 is an abundant number, since it is smaller than the sum of its proper divisors (1872925712).

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

978891760 is a wasteful number, since it uses less digits than its factorization.

978891760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The square root of 978891760 is about 31287.2459638109. The cubic root of 978891760 is about 992.9138247281.

The spelling of 978891760 in words is "nine hundred seventy-eight million, eight hundred ninety-one thousand, seven hundred sixty".