792998400 has 240 divisors, whose sum is σ = 2657803104. Its totient is φ = 208404480.

The previous prime is 792998387. The next prime is 792998411. The reversal of 792998400 is 4899297.

It is a happy number.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 792998400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4108704 + ... + 4108896.

Almost surely, 2^792998400 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 792998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328901552).

792998400 is an abundant number, since it is smaller than the sum of its proper divisors (1864804704).

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

792998400 is a wasteful number, since it uses less digits than its factorization.

792998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 792998400 is about 28160.2272718101. The cubic root of 792998400 is about 925.6016149587.

The spelling of 792998400 in words is "seven hundred ninety-two million, nine hundred ninety-eight thousand, four hundred".