88804800 has 252 divisors, whose sum is σ = 361133136. Its totient is φ = 20275200.

The previous prime is 88804799. The next prime is 88804819. The reversal of 88804800 is 840888.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100360 + ... + 101240.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 2^88804800 is an apocalyptic number.

88804800 is a gapful number since it is divisible by the number (80) 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 88804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180566568).

88804800 is an abundant number, since it is smaller than the sum of its proper divisors (272328336).

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

88804800 is a wasteful number, since it uses less digits than its factorization.

88804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88804800 is about 9423.6298738862. The cubic root of 88804800 is about 446.1478593056.

The spelling of 88804800 in words is "eighty-eight million, eight hundred four thousand, eight hundred".