7744968 has 144 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 1995840.

The previous prime is 7744963. The next prime is 7744991. The reversal of 7744968 is 8694477.

7744968 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (338688) is a multiple of the sum of its prime factors (168).

7744968 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7744963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60921 + ... + 61047.

Almost surely, 2^7744968 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 7744968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278720).

7744968 is an abundant number, since it is smaller than the sum of its proper divisors (18812472).

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

7744968 is a wasteful number, since it uses less digits than its factorization.

7744968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7744968 is about 2782.9782607847. The cubic root of 7744968 is about 197.8517408656.

The spelling of 7744968 in words is "seven million, seven hundred forty-four thousand, nine hundred sixty-eight".