798310800 has 360 divisors, whose sum is σ = 3214199040. Its totient is φ = 179712000.

The previous prime is 798310763. The next prime is 798310801. The reversal of 798310800 is 8013897.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798310801) 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 71 ways as a sum of consecutive naturals, for example, 1990600 + ... + 1991000.

Almost surely, 2^798310800 is an apocalyptic number.

798310800 is a gapful number since it is divisible by the number (70) 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 798310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607099520).

798310800 is an abundant number, since it is smaller than the sum of its proper divisors (2415888240).

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

798310800 is a wasteful number, since it uses less digits than its factorization.

798310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 798310800 is about 28254.3943484903. The cubic root of 798310800 is about 927.6639253229.

The spelling of 798310800 in words is "seven hundred ninety-eight million, three hundred ten thousand, eight hundred".