99877800 has 192 divisors, whose sum is σ = 347745600. Its totient is φ = 23500800.

The previous prime is 99877793. The next prime is 99877853. The reversal of 99877800 is 877899.

It is a self number, because there is not a number n which added to its sum of digits gives 99877800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243996 + ... + 244404.

It is an arithmetic number, because the mean of its divisors is an integer number (1811175).

Almost surely, 2^99877800 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 99877800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173872800).

99877800 is an abundant number, since it is smaller than the sum of its proper divisors (247867800).

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

99877800 is a wasteful number, since it uses less digits than its factorization.

99877800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 99877800 is about 9993.8881322536. Note that the first 3 decimals coincide. The cubic root of 99877800 is about 463.9697389103.

The spelling of 99877800 in words is "ninety-nine million, eight hundred seventy-seven thousand, eight hundred".