972076680 has 128 divisors (see below), whose sum is σ = 3250800000. Its totient is φ = 258377472.

The previous prime is 972076649. The next prime is 972076697. The reversal of 972076680 is 86670279.

It is a happy number.

972076680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375631 + ... + 378209.

It is an arithmetic number, because the mean of its divisors is an integer number (25396875).

Almost surely, 2^972076680 is an apocalyptic number.

972076680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972076680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625400000).

972076680 is an abundant number, since it is smaller than the sum of its proper divisors (2278723320).

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

972076680 is a wasteful number, since it uses less digits than its factorization.

972076680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 972076680 is about 31178.1442680606. The cubic root of 972076680 is about 990.6042225206.

The spelling of 972076680 in words is "nine hundred seventy-two million, seventy-six thousand, six hundred eighty".