976720 has 40 divisors (see below), whose sum is σ = 2354760. Its totient is φ = 376320.

The previous prime is 976709. The next prime is 976721. The reversal of 976720 is 27679.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 976144 = 24^2 + 988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976721) by changing a digit.

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, 2110 + ... + 2530.

It is an arithmetic number, because the mean of its divisors is an integer number (58869).

2⁹⁷⁶⁷²⁰ 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 976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177380).

976720 is an abundant number, since it is smaller than the sum of its proper divisors (1378040).

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

976720 is a wasteful number, since it uses less digits than its factorization.

976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 976720 is about 988.2914549868. The cubic root of 976720 is about 99.2178991288.

It can be divided in two parts, 9 and 76720, that added together give a square (76729 = 277²).

The spelling of 976720 in words is "nine hundred seventy-six thousand, seven hundred twenty".