772726026240 has 624 divisors, whose sum is σ = 3069225102528. Its totient is φ = 176154476544.

The previous prime is 772726026223. The next prime is 772726026253. The reversal of 772726026240 is 42620627277.

772726026240 is a `hidden beast` number, since 77 + 27 + 260 + 262 + 40 = 666.

It is a super-2 number, since 2×772726026240² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790916632 + ... + 790917608.

It is an arithmetic number, because the mean of its divisors is an integer number (4918629972).

Almost surely, 2^772726026240 is an apocalyptic number.

772726026240 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 772726026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534612551264).

772726026240 is an abundant number, since it is smaller than the sum of its proper divisors (2296499076288).

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

772726026240 is a wasteful number, since it uses less digits than its factorization.

772726026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 772726026240 in words is "seven hundred seventy-two billion, seven hundred twenty-six million, twenty-six thousand, two hundred forty".