726077768 has 32 divisors (see below), whose sum is σ = 1473528000. Its totient is φ = 333419328.

The previous prime is 726077767. The next prime is 726077791. The reversal of 726077768 is 867770627.

It is not an unprimeable number, because it can be changed into a prime (726077767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3155 + ... + 38237.

It is an arithmetic number, because the mean of its divisors is an integer number (46047750).

Almost surely, 2^726077768 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 726077768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736764000).

726077768 is an abundant number, since it is smaller than the sum of its proper divisors (747450232).

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

726077768 is a wasteful number, since it uses less digits than its factorization.

726077768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35301 (or 35297 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 50.

The square root of 726077768 is about 26945.8302525641. The cubic root of 726077768 is about 898.7958249567.

The spelling of 726077768 in words is "seven hundred twenty-six million, seventy-seven thousand, seven hundred sixty-eight".