80858400 has 144 divisors (see below), whose sum is σ = 300855744. Its totient is φ = 18478080.

The previous prime is 80858389. The next prime is 80858413. The reversal of 80858400 is 485808.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 14394 + ... + 19206.

It is an arithmetic number, because the mean of its divisors is an integer number (2089276).

Almost surely, 2^80858400 is an apocalyptic number.

80858400 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 80858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150427872).

80858400 is an abundant number, since it is smaller than the sum of its proper divisors (219997344).

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

80858400 is a wasteful number, since it uses less digits than its factorization.

80858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 80858400 is about 8992.1298923003. The cubic root of 80858400 is about 432.4225974396.

The spelling of 80858400 in words is "eighty million, eight hundred fifty-eight thousand, four hundred".