99776880 has 160 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 22802688.

The previous prime is 99776863. The next prime is 99776933. The reversal of 99776880 is 8867799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11821 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^99776880 is an apocalyptic number.

99776880 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 99776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

99776880 is an abundant number, since it is smaller than the sum of its proper divisors (293055120).

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

99776880 is a wasteful number, since it uses less digits than its factorization.

99776880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 99776880 is about 9988.8377702313. The cubic root of 99776880 is about 463.8134158645.

It can be divided in two parts, 997 and 76880, that added together give a palindrome (77877).

The spelling of 99776880 in words is "ninety-nine million, seven hundred seventy-six thousand, eight hundred eighty".