792787890240 has 504 divisors, whose sum is σ = 2845437280920. Its totient is φ = 202597484544.

The previous prime is 792787890221. The next prime is 792787890259. The reversal of 792787890240 is 42098787297.

It is an interprime number because it is at equal distance from previous prime (792787890221) and next prime (792787890259).

It can be written as a sum of positive squares in 4 ways, for example, as 57323851776 + 735464038464 = 239424^2 + 857592^2 .

It is a super-2 number, since 2×792787890240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14958262054 + ... + 14958262106.

Almost surely, 2^792787890240 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 792787890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422718640460).

792787890240 is an abundant number, since it is smaller than the sum of its proper divisors (2052649390680).

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

792787890240 is an frugal number, since it uses more digits than its factorization.

792787890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 792787890240 in words is "seven hundred ninety-two billion, seven hundred eighty-seven million, eight hundred ninety thousand, two hundred forty".