772208640 has 720 divisors, whose sum is σ = 3389185800. Its totient is φ = 167215104.

The previous prime is 772208639. The next prime is 772208651. The reversal of 772208640 is 46802277.

772208640 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 772208595 and 772208604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642551 + ... + 40642569.

Almost surely, 2^772208640 is an apocalyptic number.

772208640 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 772208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694592900).

772208640 is an abundant number, since it is smaller than the sum of its proper divisors (2616977160).

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

772208640 is a wasteful number, since it uses less digits than its factorization.

772208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 772208640 is about 27788.6422842139. The cubic root of 772208640 is about 917.4411567268.

The spelling of 772208640 in words is "seven hundred seventy-two million, two hundred eight thousand, six hundred forty".