977808384 has 264 divisors, whose sum is σ = 3372145920. Its totient is φ = 266821632.

The previous prime is 977808383. The next prime is 977808389. The reversal of 977808384 is 483808779.

It is a super-2 number, since 2×977808384² = 1912218471641382912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 977808384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977808383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483447 + ... + 1484105.

It is an arithmetic number, because the mean of its divisors is an integer number (12773280).

Almost surely, 2^977808384 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 977808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686072960).

977808384 is an abundant number, since it is smaller than the sum of its proper divisors (2394337536).

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

977808384 is a wasteful number, since it uses less digits than its factorization.

977808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 977808384 is about 31269.9277901309. The cubic root of 977808384 is about 992.5473912658.

The spelling of 977808384 in words is "nine hundred seventy-seven million, eight hundred eight thousand, three hundred eighty-four".