798800400 has 240 divisors, whose sum is σ = 2921440000. Its totient is φ = 207152640.

The previous prime is 798800393. The next prime is 798800407. The reversal of 798800400 is 4008897.

798800400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (798800393) and next prime (798800407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (798800407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398601 + ... + 400599.

Almost surely, 2^798800400 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 798800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460720000).

798800400 is an abundant number, since it is smaller than the sum of its proper divisors (2122639600).

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

798800400 is a wasteful number, since it uses less digits than its factorization.

798800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 798800400 is about 28263.0571594794. The cubic root of 798800400 is about 927.8535304407.

The spelling of 798800400 in words is "seven hundred ninety-eight million, eight hundred thousand, four hundred".