815198800 has 240 divisors, whose sum is σ = 2290408960. Its totient is φ = 276203520.

The previous prime is 815198789. The next prime is 815198803. The reversal of 815198800 is 8891518.

It is a super-3 number, since 3×815198800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815198803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3655489 + ... + 3655711.

Almost surely, 2^815198800 is an apocalyptic number.

815198800 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 815198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145204480).

815198800 is an abundant number, since it is smaller than the sum of its proper divisors (1475210160).

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

815198800 is a wasteful number, since it uses less digits than its factorization.

815198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The square root of 815198800 is about 28551.6864650759. The cubic root of 815198800 is about 934.1598064850.

The spelling of 815198800 in words is "eight hundred fifteen million, one hundred ninety-eight thousand, eight hundred".