976672000 has 144 divisors (see below), whose sum is σ = 2540708352. Its totient is φ = 373401600.

The previous prime is 976671979. The next prime is 976672001. The reversal of 976672000 is 276679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735337 + ... + 736663.

It is an arithmetic number, because the mean of its divisors is an integer number (17643808).

Almost surely, 2^976672000 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 976672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270354176).

976672000 is an abundant number, since it is smaller than the sum of its proper divisors (1564036352).

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

976672000 is a wasteful number, since it uses less digits than its factorization.

976672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 976672000 is about 31251.7519508907. The cubic root of 976672000 is about 992.1627377828.

The spelling of 976672000 in words is "nine hundred seventy-six million, six hundred seventy-two thousand".