790403040 has 288 divisors, whose sum is σ = 3245598720. Its totient is φ = 171113472.

The previous prime is 790403017. The next prime is 790403051. The reversal of 790403040 is 40304097.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 790402995 and 790403013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189457 + ... + 193583.

It is an arithmetic number, because the mean of its divisors is an integer number (11269440).

Almost surely, 2^790403040 is an apocalyptic number.

790403040 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 790403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622799360).

790403040 is an abundant number, since it is smaller than the sum of its proper divisors (2455195680).

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

790403040 is a wasteful number, since it uses less digits than its factorization.

790403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 790403040 is about 28114.1074907243. The cubic root of 790403040 is about 924.5907281213.

The spelling of 790403040 in words is "seven hundred ninety million, four hundred three thousand, forty".