799088400 has 360 divisors, whose sum is σ = 3205803744. Its totient is φ = 182169600.

The previous prime is 799088363. The next prime is 799088413. The reversal of 799088400 is 4880997.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 672607 + ... + 673793.

Almost surely, 2^799088400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602901872).

799088400 is an abundant number, since it is smaller than the sum of its proper divisors (2406715344).

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

799088400 is a wasteful number, since it uses less digits than its factorization.

799088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 799088400 is about 28268.1516905510. The cubic root of 799088400 is about 927.9650266745.

The spelling of 799088400 in words is "seven hundred ninety-nine million, eighty-eight thousand, four hundred".