798579600 has 480 divisors, whose sum is σ = 3223793664. Its totient is φ = 164505600.

The previous prime is 798579589. The next prime is 798579601. The reversal of 798579600 is 6975897.

It is not an unprimeable number, because it can be changed into a prime (798579601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7753149 + ... + 7753251.

Almost surely, 2^798579600 is an apocalyptic number.

798579600 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 798579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611896832).

798579600 is an abundant number, since it is smaller than the sum of its proper divisors (2425214064).

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

798579600 is a wasteful number, since it uses less digits than its factorization.

798579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 798579600 is about 28259.1507303387. The cubic root of 798579600 is about 927.7680318444.

The spelling of 798579600 in words is "seven hundred ninety-eight million, five hundred seventy-nine thousand, six hundred".