978752 has 28 divisors (see below), whose sum is σ = 1994916. Its totient is φ = 476160.

The previous prime is 978749. The next prime is 978773. The reversal of 978752 is 257879.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 732736 = 496^2 + 856^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2438 + ... + 2810.

It is an arithmetic number, because the mean of its divisors is an integer number (71247).

2⁹⁷⁸⁷⁵² 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 978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997458).

978752 is an abundant number, since it is smaller than the sum of its proper divisors (1016164).

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

978752 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (978751) it forms an eRAP, since the sums of their prime factors are consecutive (425 and 426).

978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 978752 is about 989.3189576673. The cubic root of 978752 is about 99.2866568485.

The spelling of 978752 in words is "nine hundred seventy-eight thousand, seven hundred fifty-two".