7740432 has 90 divisors (see below), whose sum is σ = 25222158. Its totient is φ = 2209536.

The previous prime is 7740413. The next prime is 7740433. The reversal of 7740432 is 2340477.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 1806336 = 2436^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7740396 and 7740405.

It is not an unprimeable number, because it can be changed into a prime (7740433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6508 + ... + 7604.

Almost surely, 2^7740432 is an apocalyptic number.

7740432 is a gapful number since it is divisible by the number (72) 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 7740432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611079).

7740432 is an abundant number, since it is smaller than the sum of its proper divisors (17481726).

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

7740432 is a wasteful number, since it uses less digits than its factorization.

7740432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 7740432 is about 2782.1631871621. The cubic root of 7740432 is about 197.8131080071.

The spelling of 7740432 in words is "seven million, seven hundred forty thousand, four hundred thirty-two".