88210800 has 180 divisors, whose sum is σ = 310326120. Its totient is φ = 23201280.

The previous prime is 88210789. The next prime is 88210853. The reversal of 88210800 is 801288.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×88210800² = 15562290473280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385086 + ... + 385314.

It is an arithmetic number, because the mean of its divisors is an integer number (1724034).

Almost surely, 2^88210800 is an apocalyptic number.

88210800 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 88210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155163060).

88210800 is an abundant number, since it is smaller than the sum of its proper divisors (222115320).

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

88210800 is a wasteful number, since it uses less digits than its factorization.

88210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 88210800 is about 9392.0604768070. The cubic root of 88210800 is about 445.1508977796.

The spelling of 88210800 in words is "eighty-eight million, two hundred ten thousand, eight hundred".