978035520 has 448 divisors, whose sum is σ = 3939674112. Its totient is φ = 199680000.

The previous prime is 978035501. The next prime is 978035521. The reversal of 978035520 is 25530879.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978035521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7465855 + ... + 7465985.

Almost surely, 2^978035520 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 978035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969837056).

978035520 is an abundant number, since it is smaller than the sum of its proper divisors (2961638592).

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

978035520 is a wasteful number, since it uses less digits than its factorization.

978035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 978035520 is about 31273.5594392452. The cubic root of 978035520 is about 992.6242385616.

The spelling of 978035520 in words is "nine hundred seventy-eight million, thirty-five thousand, five hundred twenty".