7740040 has 96 divisors (see below), whose sum is σ = 22161600. Its totient is φ = 2405760.

The previous prime is 7740037. The next prime is 7740077. The reversal of 7740040 is 400477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 7739993 and 7740020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381 + ... + 21739.

It is an arithmetic number, because the mean of its divisors is an integer number (230850).

Almost surely, 2^7740040 is an apocalyptic number.

7740040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080800).

7740040 is an abundant number, since it is smaller than the sum of its proper divisors (14421560).

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

7740040 is a wasteful number, since it uses less digits than its factorization.

7740040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 7740040 is about 2782.0927374910. The cubic root of 7740040 is about 197.8097686565.

It can be divided in two parts, 7 and 740040, that added together give a palindrome (740047).

The spelling of 7740040 in words is "seven million, seven hundred forty thousand, forty".