7774416 has 60 divisors (see below), whose sum is σ = 23436868. Its totient is φ = 2391552.

The previous prime is 7774399. The next prime is 7774433. The reversal of 7774416 is 6144777.

It is an interprime number because it is at equal distance from previous prime (7774399) and next prime (7774433).

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 7290000 = 696^2 + 2700^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 3948.

Almost surely, 2^7774416 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 7774416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718434).

7774416 is an abundant number, since it is smaller than the sum of its proper divisors (15662452).

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

7774416 is a wasteful number, since it uses less digits than its factorization.

7774416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4171 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 7774416 is about 2788.2639760252. The cubic root of 7774416 is about 198.1021817239.

The spelling of 7774416 in words is "seven million, seven hundred seventy-four thousand, four hundred sixteen".