790821540 has 72 divisors (see below), whose sum is σ = 2416410360. Its totient is φ = 209339904.

The previous prime is 790821529. The next prime is 790821547. The reversal of 790821540 is 45128097.

790821540 is a `hidden beast` number, since 7 + 90 + 8 + 21 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212226624 + 578594916 = 14568^2 + 24054^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 790821495 and 790821504.

It is not an unprimeable number, because it can be changed into a prime (790821547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8626 + ... + 40694.

It is an arithmetic number, because the mean of its divisors is an integer number (33561255).

Almost surely, 2^790821540 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 790821540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208205180).

790821540 is an abundant number, since it is smaller than the sum of its proper divisors (1625588820).

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

790821540 is a wasteful number, since it uses less digits than its factorization.

790821540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32221 (or 32216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 790821540 is about 28121.5493883250. The cubic root of 790821540 is about 924.7538824144.

The spelling of 790821540 in words is "seven hundred ninety million, eight hundred twenty-one thousand, five hundred forty".