977829888 has 256 divisors, whose sum is σ = 3145680000. Its totient is φ = 269746176.

The previous prime is 977829887. The next prime is 977829893. The reversal of 977829888 is 888928779.

It is a tau number, because it is divible by the number of its divisors (256).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (977829887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33718258 + ... + 33718286.

Almost surely, 2^977829888 is an apocalyptic number.

977829888 is a gapful number since it is divisible by the number (98) 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 977829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572840000).

977829888 is an abundant number, since it is smaller than the sum of its proper divisors (2167850112).

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

977829888 is an frugal number, since it uses more digits than its factorization.

977829888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 66.

The square root of 977829888 is about 31270.2716329743. The cubic root of 977829888 is about 992.5546672594.

The spelling of 977829888 in words is "nine hundred seventy-seven million, eight hundred twenty-nine thousand, eight hundred eighty-eight".