786726720 has 168 divisors, whose sum is σ = 2914305576. Its totient is φ = 193646592.

The previous prime is 786726719. The next prime is 786726727. The reversal of 786726720 is 27627687.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 734193216 = 7248^2 + 27096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786726727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26934 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (17347057).

Almost surely, 2^786726720 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 786726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457152788).

786726720 is an abundant number, since it is smaller than the sum of its proper divisors (2127578856).

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

786726720 is a wasteful number, since it uses less digits than its factorization.

786726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21049 (or 21036 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 786726720 is about 28048.6491653341. The cubic root of 786726720 is about 923.1550154445.

The spelling of 786726720 in words is "seven hundred eighty-six million, seven hundred twenty-six thousand, seven hundred twenty".