790448400 has 270 divisors, whose sum is σ = 3191636682. Its totient is φ = 180633600.

The previous prime is 790448387. The next prime is 790448423. The reversal of 790448400 is 4844097.

It can be written as a sum of positive squares in 3 ways, for example, as 121088016 + 669360384 = 11004^2 + 25872^2 .

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

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 174160 + ... + 178640.

Almost surely, 2^790448400 is an apocalyptic number.

790448400 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 790448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595818341).

790448400 is an abundant number, since it is smaller than the sum of its proper divisors (2401188282).

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

790448400 is a wasteful number, since it uses less digits than its factorization.

790448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 790448400 is about 28114.9141915817. The cubic root of 790448400 is about 924.6084147238.

The spelling of 790448400 in words is "seven hundred ninety million, four hundred forty-eight thousand, four hundred".