790451840 has 64 divisors (see below), whose sum is σ = 1954881000. Its totient is φ = 305270784.

The previous prime is 790451747. The next prime is 790451867. The reversal of 790451840 is 48154097.

It can be written as a sum of positive squares in 4 ways, for example, as 492129856 + 298321984 = 22184^2 + 17272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×790451840² = 1249628222718771200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 790451794 and 790451803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2735 + ... + 39854.

Almost surely, 2^790451840 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 790451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977440500).

790451840 is an abundant number, since it is smaller than the sum of its proper divisors (1164429160).

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

790451840 is a wasteful number, since it uses less digits than its factorization.

790451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42637 (or 42625 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 790451840 is about 28114.9753690093. The cubic root of 790451840 is about 924.6097560082.

The spelling of 790451840 in words is "seven hundred ninety million, four hundred fifty-one thousand, eight hundred forty".