726626880 has 504 divisors, whose sum is σ = 3071652480. Its totient is φ = 156764160.

The previous prime is 726626827. The next prime is 726626891. The reversal of 726626880 is 88626627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2681145 + ... + 2681415.

Almost surely, 2^726626880 is an apocalyptic number.

726626880 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 726626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535826240).

726626880 is an abundant number, since it is smaller than the sum of its proper divisors (2345025600).

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

726626880 is a wasteful number, since it uses less digits than its factorization.

726626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 726626880 is about 26956.0175100106. The cubic root of 726626880 is about 899.0223457833.

The spelling of 726626880 in words is "seven hundred twenty-six million, six hundred twenty-six thousand, eight hundred eighty".