7706442240 has 480 divisors, whose sum is σ = 30977945856. Its totient is φ = 1734082560.

The previous prime is 7706442209. The next prime is 7706442277. The reversal of 7706442240 is 422446077.

It is a happy number.

7706442240 is a `hidden beast` number, since 7 + 7 + 0 + 644 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7706442195 and 7706442204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450544 + ... + 11451216.

Almost surely, 2^7706442240 is an apocalyptic number.

7706442240 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 7706442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488972928).

7706442240 is an abundant number, since it is smaller than the sum of its proper divisors (23271503616).

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

7706442240 is a wasteful number, since it uses less digits than its factorization.

7706442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7706442240 is about 87786.3442683428. The cubic root of 7706442240 is about 1975.2313772613.

The spelling of 7706442240 in words is "seven billion, seven hundred six million, four hundred forty-two thousand, two hundred forty".