978127504 has 40 divisors (see below), whose sum is σ = 2013185880. Its totient is φ = 458784768.

The previous prime is 978127499. The next prime is 978127537. The reversal of 978127504 is 405721879.

978127504 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 1690000 + 976437504 = 1300^2 + 31248^2 .

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, 79392 + ... + 90880.

It is an arithmetic number, because the mean of its divisors is an integer number (50329647).

Almost surely, 2^978127504 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 978127504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006592940).

978127504 is an abundant number, since it is smaller than the sum of its proper divisors (1035058376).

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

978127504 is a wasteful number, since it uses less digits than its factorization.

978127504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 978127504 is about 31275.0300399536. The cubic root of 978127504 is about 992.6553562745.

Subtracting from 978127504 its reverse (405721879), we obtain a square (572405625 = 23925²).

The spelling of 978127504 in words is "nine hundred seventy-eight million, one hundred twenty-seven thousand, five hundred four".