772726500 has 768 divisors, whose sum is σ = 3346237440. Its totient is φ = 149299200.

The previous prime is 772726453. The next prime is 772726529. The reversal of 772726500 is 5627277.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 20884482 + ... + 20884518.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^772726500 is an apocalyptic number.

772726500 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 772726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

772726500 is an abundant number, since it is smaller than the sum of its proper divisors (2573510940).

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

772726500 is a wasteful number, since it uses less digits than its factorization.

772726500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 772726500 is about 27797.9585581388. The cubic root of 772726500 is about 917.6461962662.

The spelling of 772726500 in words is "seven hundred seventy-two million, seven hundred twenty-six thousand, five hundred".