793298880 has 448 divisors, whose sum is σ = 3239170560. Its totient is φ = 180633600.

The previous prime is 793298861. The next prime is 793298899. The reversal of 793298880 is 88892397.

It is an interprime number because it is at equal distance from previous prime (793298861) and next prime (793298899).

It is a super-2 number, since 2×793298880² = 1258646226018508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615435 + ... + 1615925.

Almost surely, 2^793298880 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 793298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619585280).

793298880 is an abundant number, since it is smaller than the sum of its proper divisors (2445871680).

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

793298880 is a wasteful number, since it uses less digits than its factorization.

793298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 793298880 is about 28165.5619507227. The cubic root of 793298880 is about 925.7185087011.

It can be divided in two parts, 79329 and 8880, that added together give a square (88209 = 297²).

The spelling of 793298880 in words is "seven hundred ninety-three million, two hundred ninety-eight thousand, eight hundred eighty".