743800680 has 384 divisors, whose sum is σ = 2962552320. Its totient is φ = 158146560.

The previous prime is 743800661. The next prime is 743800727. The reversal of 743800680 is 86008347.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2376204 + ... + 2376516.

It is an arithmetic number, because the mean of its divisors is an integer number (7714980).

Almost surely, 2^743800680 is an apocalyptic number.

743800680 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 743800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481276160).

743800680 is an abundant number, since it is smaller than the sum of its proper divisors (2218751640).

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

743800680 is a wasteful number, since it uses less digits than its factorization.

743800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 743800680 is about 27272.7094363578. The cubic root of 743800680 is about 906.0500535187.

The spelling of 743800680 in words is "seven hundred forty-three million, eight hundred thousand, six hundred eighty".