790132358400 has 1728 divisors, whose sum is σ = 3573851258880. Its totient is φ = 148657766400.

The previous prime is 790132358399. The next prime is 790132358443. The reversal of 790132358400 is 4853231097.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646060189 + ... + 646061411.

It is an arithmetic number, because the mean of its divisors is an integer number (2068200960).

Almost surely, 2^790132358400 is an apocalyptic number.

790132358400 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 790132358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786925629440).

790132358400 is an abundant number, since it is smaller than the sum of its proper divisors (2783718900480).

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

790132358400 is a wasteful number, since it uses less digits than its factorization.

790132358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 790132358400 its reverse (4853231097), we get a palindrome (794985589497).

The spelling of 790132358400 in words is "seven hundred ninety billion, one hundred thirty-two million, three hundred fifty-eight thousand, four hundred".