7705938240 has 1344 divisors, whose sum is σ = 37230466560. Its totient is φ = 1478062080.

The previous prime is 7705938221. The next prime is 7705938241. The reversal of 7705938240 is 428395077.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7705938241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592764474 + ... + 592764486.

It is an arithmetic number, because the mean of its divisors is an integer number (27701240).

Almost surely, 2^7705938240 is an apocalyptic number.

7705938240 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 7705938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615233280).

7705938240 is an abundant number, since it is smaller than the sum of its proper divisors (29524528320).

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

7705938240 is a wasteful number, since it uses less digits than its factorization.

7705938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7705938240 is about 87783.4736154819. The cubic root of 7705938240 is about 1975.1883163916.

The spelling of 7705938240 in words is "seven billion, seven hundred five million, nine hundred thirty-eight thousand, two hundred forty".