7777944 has 48 divisors (see below), whose sum is σ = 21850920. Its totient is φ = 2592000.

The previous prime is 7777943. The next prime is 7777951. The reversal of 7777944 is 4497777.

It is a self number, because there is not a number n which added to its sum of digits gives 7777944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7777943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 3944.

Almost surely, 2^7777944 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 7777944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925460).

7777944 is an abundant number, since it is smaller than the sum of its proper divisors (14072976).

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

7777944 is a wasteful number, since it uses less digits than its factorization.

7777944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4006 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 7777944 is about 2788.8965559877. The cubic root of 7777944 is about 198.1321431943.

The spelling of 7777944 in words is "seven million, seven hundred seventy-seven thousand, nine hundred forty-four".