978720 has 48 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 260864.

The previous prime is 978713. The next prime is 978727. The reversal of 978720 is 27879.

It is an interprime number because it is at equal distance from previous prime (978713) and next prime (978727).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (978727) by changing a digit.

978720 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 540 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2⁹⁷⁸⁷²⁰ is an apocalyptic number.

It is an amenable number.

978720 is an abundant number, since it is smaller than the sum of its proper divisors (2105760).

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

978720 is a wasteful number, since it uses less digits than its factorization.

978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 978720 is about 989.3027847934. The cubic root of 978720 is about 99.2855747877.

The spelling of 978720 in words is "nine hundred seventy-eight thousand, seven hundred twenty".