726094880 has 192 divisors, whose sum is σ = 2086560000. Its totient is φ = 233238528.

The previous prime is 726094877. The next prime is 726094883. The reversal of 726094880 is 88490627.

It is an interprime number because it is at equal distance from previous prime (726094877) and next prime (726094883).

It is not an unprimeable number, because it can be changed into a prime (726094883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3170606 + ... + 3170834.

It is an arithmetic number, because the mean of its divisors is an integer number (10867500).

Almost surely, 2^726094880 is an apocalyptic number.

726094880 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 726094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280000).

726094880 is an abundant number, since it is smaller than the sum of its proper divisors (1360465120).

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

726094880 is a wasteful number, since it uses less digits than its factorization.

726094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 726094880 is about 26946.1477766303. The cubic root of 726094880 is about 898.8028857584.

The spelling of 726094880 in words is "seven hundred twenty-six million, ninety-four thousand, eight hundred eighty".