978526080 has 288 divisors, whose sum is σ = 3931775640. Its totient is φ = 223598592.

The previous prime is 978526079. The next prime is 978526097. The reversal of 978526080 is 80625879.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280507 + ... + 283973.

Almost surely, 2^978526080 is an apocalyptic number.

978526080 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 978526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965887820).

978526080 is an abundant number, since it is smaller than the sum of its proper divisors (2953249560).

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

978526080 is a wasteful number, since it uses less digits than its factorization.

978526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 978526080 is about 31281.4015031296. The cubic root of 978526080 is about 992.7901699435.

The spelling of 978526080 in words is "nine hundred seventy-eight million, five hundred twenty-six thousand, eighty".