7742664 has 48 divisors (see below), whose sum is σ = 21375900. Its totient is φ = 2530944.

The previous prime is 7742641. The next prime is 7742677. The reversal of 7742664 is 4662477.

It can be written as a sum of positive squares in 2 ways, for example, as 6200100 + 1542564 = 2490^2 + 1242^2 .

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

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, 2802 + ... + 4830.

Almost surely, 2^7742664 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 7742664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687950).

7742664 is an abundant number, since it is smaller than the sum of its proper divisors (13633236).

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

7742664 is a wasteful number, since it uses less digits than its factorization.

7742664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2087 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 7742664 is about 2782.5642849717. The cubic root of 7742664 is about 197.8321197119.

The spelling of 7742664 in words is "seven million, seven hundred forty-two thousand, six hundred sixty-four".