7791408 has 60 divisors (see below), whose sum is σ = 22187568. Its totient is φ = 2551680.

The previous prime is 7791403. The next prime is 7791431. The reversal of 7791408 is 8041977.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7791403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8341 + ... + 9227.

Almost surely, 2^7791408 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 7791408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093784).

7791408 is an abundant number, since it is smaller than the sum of its proper divisors (14396160).

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

7791408 is a wasteful number, since it uses less digits than its factorization.

7791408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7791408 is about 2791.3093701702. The cubic root of 7791408 is about 198.2464027543.

It can be divided in two parts, 779 and 1408, that added together give a 7-th power (2187 = 3⁷).

The spelling of 7791408 in words is "seven million, seven hundred ninety-one thousand, four hundred eight".