772415120 has 40 divisors (see below), whose sum is σ = 1797470520. Its totient is φ = 308689920.

The previous prime is 772415107. The next prime is 772415191. The reversal of 772415120 is 21514277.

It can be written as a sum of positive squares in 4 ways, for example, as 209207296 + 563207824 = 14464^2 + 23732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×772415120² = 1193250235209228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102026 + ... + 109334.

It is an arithmetic number, because the mean of its divisors is an integer number (44936763).

Almost surely, 2^772415120 is an apocalyptic number.

It is an amenable number.

772415120 is an abundant number, since it is smaller than the sum of its proper divisors (1025055400).

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

772415120 is a wasteful number, since it uses less digits than its factorization.

772415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 772415120 is about 27792.3572228050. The cubic root of 772415120 is about 917.5229206261.

Adding to 772415120 its reverse (21514277), we get a palindrome (793929397).

The spelling of 772415120 in words is "seven hundred seventy-two million, four hundred fifteen thousand, one hundred twenty".