792933214080 has 512 divisors, whose sum is σ = 3062222392320. Its totient is φ = 170370662400.

The previous prime is 792933214039. The next prime is 792933214081. The reversal of 792933214080 is 80412339297.

It is a super-2 number, since 2×792933214080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792933214081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249270090 + ... + 249273270.

It is an arithmetic number, because the mean of its divisors is an integer number (5980903110).

Almost surely, 2^792933214080 is an apocalyptic number.

792933214080 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 792933214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531111196160).

792933214080 is an abundant number, since it is smaller than the sum of its proper divisors (2269289178240).

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

792933214080 is a wasteful number, since it uses less digits than its factorization.

792933214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 792933214080 in words is "seven hundred ninety-two billion, nine hundred thirty-three million, two hundred fourteen thousand, eighty".