972077876 has 144 divisors (see below), whose sum is σ = 2258710272. Its totient is φ = 361670400.

The previous prime is 972077863. The next prime is 972077891. The reversal of 972077876 is 678770279.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5370506 + ... + 5370686.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^972077876 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 972077876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

972077876 is an abundant number, since it is smaller than the sum of its proper divisors (1286632396).

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

972077876 is a wasteful number, since it uses less digits than its factorization.

972077876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 53.

The square root of 972077876 is about 31178.1634481571. The cubic root of 972077876 is about 990.6046287856.

The spelling of 972077876 in words is "nine hundred seventy-two million, seventy-seven thousand, eight hundred seventy-six".