791743680 has 896 divisors, whose sum is σ = 3686860800. Its totient is φ = 155271168.

The previous prime is 791743679. The next prime is 791743681. The reversal of 791743680 is 86347197.

It is an interprime number because it is at equal distance from previous prime (791743679) and next prime (791743681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791743681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938534 + ... + 14938586.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^791743680 is an apocalyptic number.

791743680 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 791743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

791743680 is an abundant number, since it is smaller than the sum of its proper divisors (2895117120).

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

791743680 is a wasteful number, since it uses less digits than its factorization.

791743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 791743680 is about 28137.9402231222. The cubic root of 791743680 is about 925.1131802100.

The spelling of 791743680 in words is "seven hundred ninety-one million, seven hundred forty-three thousand, six hundred eighty".