790682400 has 216 divisors, whose sum is σ = 2807515620. Its totient is φ = 209387520.

The previous prime is 790682371. The next prime is 790682401. The reversal of 790682400 is 4286097.

It can be written as a sum of positive squares in 6 ways, for example, as 80353296 + 710329104 = 8964^2 + 26652^2 .

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 (790682401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1389316 + ... + 1389884.

Almost surely, 2^790682400 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 790682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403757810).

790682400 is an abundant number, since it is smaller than the sum of its proper divisors (2016833220).

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

790682400 is a wasteful number, since it uses less digits than its factorization.

790682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 790682400 is about 28119.0753759792. The cubic root of 790682400 is about 924.6996443865.

The spelling of 790682400 in words is "seven hundred ninety million, six hundred eighty-two thousand, four hundred".