976800 has 144 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 230400.

The previous prime is 976799. The next prime is 976817. The reversal of 976800 is 8679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 26382 + ... + 26418.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁹⁷⁶⁸⁰⁰ 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 976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

976800 is an abundant number, since it is smaller than the sum of its proper divisors (2585472).

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

976800 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 976800 = (607980)₁₁.

976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 976800 is about 988.3319280485. The cubic root of 976800 is about 99.2206079281.

The spelling of 976800 in words is "nine hundred seventy-six thousand, eight hundred".