976389120 has 352 divisors, whose sum is σ = 3969542400. Its totient is φ = 222953472.

The previous prime is 976389109. The next prime is 976389121. The reversal of 976389120 is 21983679.

976389120 is a `hidden beast` number, since 9 + 7 + 638 + 9 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (976389121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967176 + ... + 968184.

Almost surely, 2^976389120 is an apocalyptic number.

976389120 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 976389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984771200).

976389120 is an abundant number, since it is smaller than the sum of its proper divisors (2993153280).

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

976389120 is a wasteful number, since it uses less digits than its factorization.

976389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 976389120 is about 31247.2257968608. The cubic root of 976389120 is about 992.0669396382.

The spelling of 976389120 in words is "nine hundred seventy-six million, three hundred eighty-nine thousand, one hundred twenty".