772840000 has 105 divisors (see below), whose sum is σ = 1930278207. Its totient is φ = 306912000.

The previous prime is 772839929. The next prime is 772840001. The reversal of 772840000 is 48277.

The square root of 772840000 is 27800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 60590656 + 712249344 = 7784^2 + 26688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772840001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5559931 + ... + 5560069.

Almost surely, 2^772840000 is an apocalyptic number.

772840000 is the 27800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772840000

772840000 is an abundant number, since it is smaller than the sum of its proper divisors (1157438207).

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

772840000 is an frugal number, since it uses more digits than its factorization.

772840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The cubic root of 772840000 is about 917.6911227890.

Multiplying 772840000 by its product of nonzero digits (3136), we get a square (2423626240000 = 1556800²).

Adding to 772840000 its reverse (48277), we get a palindrome (772888277).

The spelling of 772840000 in words is "seven hundred seventy-two million, eight hundred forty thousand".