790007400 has 648 divisors, whose sum is σ = 3404991330. Its totient is φ = 163537920.

The previous prime is 790007389. The next prime is 790007411. The reversal of 790007400 is 4700097.

790007400 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 (790007389) and next prime (790007411).

It can be written as a sum of positive squares in 9 ways, for example, as 509796 + 789497604 = 714^2 + 28098^2 .

It is a super-2 number, since 2×790007400² = 1248223384109520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 14905774 + ... + 14905826.

Almost surely, 2^790007400 is an apocalyptic number.

790007400 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 790007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702495665).

790007400 is an abundant number, since it is smaller than the sum of its proper divisors (2614983930).

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

790007400 is a wasteful number, since it uses less digits than its factorization.

790007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 790007400 is about 28107.0702848945. The cubic root of 790007400 is about 924.4364329456.

Adding to 790007400 its reverse (4700097), we get a palindrome (794707497).

The spelling of 790007400 in words is "seven hundred ninety million, seven thousand, four hundred".