792720003840 has 288 divisors, whose sum is σ = 2596043520000. Its totient is φ = 206033879040.

The previous prime is 792720003833. The next prime is 792720003857. The reversal of 792720003840 is 48300027297.

It is a super-2 number, since 2×792720003840² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 792720003792 and 792720003801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226554411 + ... + 226557909.

It is an arithmetic number, because the mean of its divisors is an integer number (9014040000).

Almost surely, 2^792720003840 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 792720003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298021760000).

792720003840 is an abundant number, since it is smaller than the sum of its proper divisors (1803323516160).

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

792720003840 is a wasteful number, since it uses less digits than its factorization.

792720003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 792720003840 in words is "seven hundred ninety-two billion, seven hundred twenty million, three thousand, eight hundred forty".