80848800 has 288 divisors, whose sum is σ = 309355200. Its totient is φ = 20321280.

The previous prime is 80848799. The next prime is 80848813. The reversal of 80848800 is 884808.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×80848800² = 13073056922880000, which contains 22 as substring.

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

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, 410302 + ... + 410498.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^80848800 is an apocalyptic number.

80848800 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 80848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

80848800 is an abundant number, since it is smaller than the sum of its proper divisors (228506400).

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

80848800 is a wasteful number, since it uses less digits than its factorization.

80848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

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

The square root of 80848800 is about 8991.5960763371. The cubic root of 80848800 is about 432.4054834839.

The spelling of 80848800 in words is "eighty million, eight hundred forty-eight thousand, eight hundred".