793309080 has 128 divisors (see below), whose sum is σ = 2532254400. Its totient is φ = 198131712.

The previous prime is 793309067. The next prime is 793309081. The reversal of 793309080 is 80903397.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793309081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 474486 + ... + 476154.

Almost surely, 2^793309080 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 793309080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266127200).

793309080 is an abundant number, since it is smaller than the sum of its proper divisors (1738945320).

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

793309080 is a wasteful number, since it uses less digits than its factorization.

793309080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 793309080 is about 28165.7430223312. The cubic root of 793309080 is about 925.7224762214.

It can be divided in two parts, 79330 and 9080, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 793309080 in words is "seven hundred ninety-three million, three hundred nine thousand, eighty".