729850680 has 192 divisors, whose sum is σ = 2568252960. Its totient is φ = 178689024.

The previous prime is 729850669. The next prime is 729850691. The reversal of 729850680 is 86058927.

It is an interprime number because it is at equal distance from previous prime (729850669) and next prime (729850691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296079 + ... + 1296641.

Almost surely, 2^729850680 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 729850680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284126480).

729850680 is an abundant number, since it is smaller than the sum of its proper divisors (1838402280).

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

729850680 is a wasteful number, since it uses less digits than its factorization.

729850680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 729850680 is about 27015.7487403181. The cubic root of 729850680 is about 900.3499379936.

The spelling of 729850680 in words is "seven hundred twenty-nine million, eight hundred fifty thousand, six hundred eighty".