726771760 has 320 divisors, whose sum is σ = 2180110464. Its totient is φ = 221184000.

The previous prime is 726771739. The next prime is 726771823. The reversal of 726771760 is 67177627.

It is a super-2 number, since 2×726771760² = 1056394382266995200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7195710 + ... + 7195810.

Almost surely, 2^726771760 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 726771760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090055232).

726771760 is an abundant number, since it is smaller than the sum of its proper divisors (1453338704).

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

726771760 is a wasteful number, since it uses less digits than its factorization.

726771760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 43.

The square root of 726771760 is about 26958.7047166588. The cubic root of 726771760 is about 899.0820929545.

The spelling of 726771760 in words is "seven hundred twenty-six million, seven hundred seventy-one thousand, seven hundred sixty".