7772416 has 36 divisors (see below), whose sum is σ = 15724492. Its totient is φ = 3833856.

The previous prime is 7772399. The next prime is 7772419. The reversal of 7772416 is 6142777.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 6553600 = 1104^2 + 2560^2 .

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (7772419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24676 + ... + 24988.

Almost surely, 2^7772416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862246).

7772416 is an abundant number, since it is smaller than the sum of its proper divisors (7952076).

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

7772416 is an equidigital number, since it uses as much as digits as its factorization.

7772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 7772416 is about 2787.9053068567. The cubic root of 7772416 is about 198.0851927375.

The spelling of 7772416 in words is "seven million, seven hundred seventy-two thousand, four hundred sixteen".