798627600 has 225 divisors, whose sum is σ = 2884582767. Its totient is φ = 211610880.

The previous prime is 798627587. The next prime is 798627601. The reversal of 798627600 is 6726897.

It is a happy number.

The square root of 798627600 is 28260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 96589584 + 702038016 = 9828^2 + 26496^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is not an unprimeable number, because it can be changed into a prime (798627601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5086722 + ... + 5086878.

Almost surely, 2^798627600 is an apocalyptic number.

798627600 is the 28260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798627600

798627600 is an abundant number, since it is smaller than the sum of its proper divisors (2085955167).

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

798627600 is a wasteful number, since it uses less digits than its factorization.

798627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 798627600 is about 927.7866198362.

Multiplying 798627600 by its product of nonzero digits (254016), we get a square (202864188441600 = 14243040²).

The spelling of 798627600 in words is "seven hundred ninety-eight million, six hundred twenty-seven thousand, six hundred".