978536880 has 120 divisors (see below), whose sum is σ = 3348388368. Its totient is φ = 256009728.

The previous prime is 978536849. The next prime is 978536887. The reversal of 978536880 is 88635879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (978536887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25339 + ... + 50981.

Almost surely, 2^978536880 is an apocalyptic number.

978536880 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 978536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674194184).

978536880 is an abundant number, since it is smaller than the sum of its proper divisors (2369851488).

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

978536880 is a wasteful number, since it uses less digits than its factorization.

978536880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25715 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 978536880 is about 31281.5741291899. The cubic root of 978536880 is about 992.7938224077.

It can be divided in two parts, 9785 and 36880, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 978536880 in words is "nine hundred seventy-eight million, five hundred thirty-six thousand, eight hundred eighty".