977386876830 has 384 divisors, whose sum is σ = 3398468935680. Its totient is φ = 189061309440.

The previous prime is 977386876819. The next prime is 977386876859. The reversal of 977386876830 is 38678683779.

977386876830 is a `hidden beast` number, since 97 + 7 + 386 + 87 + 6 + 83 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4722604 + ... + 4925216.

It is an arithmetic number, because the mean of its divisors is an integer number (8850179520).

Almost surely, 2^977386876830 is an apocalyptic number.

977386876830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 977386876830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699234467840).

977386876830 is an abundant number, since it is smaller than the sum of its proper divisors (2421082058850).

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

977386876830 is a wasteful number, since it uses less digits than its factorization.

977386876830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202696 (or 202693 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 977386876830 in words is "nine hundred seventy-seven billion, three hundred eighty-six million, eight hundred seventy-six thousand, eight hundred thirty".