793666080 has 384 divisors, whose sum is σ = 2998114560. Its totient is φ = 195379200.

The previous prime is 793666073. The next prime is 793666087. The reversal of 793666080 is 80666397.

It is an interprime number because it is at equal distance from previous prime (793666073) and next prime (793666087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (793666087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7417387 + ... + 7417493.

It is an arithmetic number, because the mean of its divisors is an integer number (7807590).

Almost surely, 2^793666080 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 793666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499057280).

793666080 is an abundant number, since it is smaller than the sum of its proper divisors (2204448480).

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

793666080 is a wasteful number, since it uses less digits than its factorization.

793666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 793666080 is about 28172.0797954287. The cubic root of 793666080 is about 925.8613180133.

The spelling of 793666080 in words is "seven hundred ninety-three million, six hundred sixty-six thousand, eighty".