7740480400 has 135 divisors (see below), whose sum is σ = 19185114739. Its totient is φ = 3001173760.

The previous prime is 7740480383. The next prime is 7740480413. The reversal of 7740480400 is 40840477.

The square root of 7740480400 is 87980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 58308496 + 7682171904 = 7636^2 + 87648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93258759 + ... + 93258841.

Almost surely, 2^7740480400 is an apocalyptic number.

7740480400 is the 87980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7740480400

7740480400 is an abundant number, since it is smaller than the sum of its proper divisors (11444634339).

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

7740480400 is an equidigital number, since it uses as much as digits as its factorization.

7740480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The cubic root of 7740480400 is about 1978.1352030683.

The spelling of 7740480400 in words is "seven billion, seven hundred forty million, four hundred eighty thousand, four hundred".