7600808340 has 240 divisors, whose sum is σ = 24420432960. Its totient is φ = 1978421760.

The previous prime is 7600808339. The next prime is 7600808357. The reversal of 7600808340 is 438080067.

7600808340 is a `hidden beast` number, since 7 + 600 + 8 + 0 + 8 + 3 + 40 = 666.

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 = 7600808295 and 7600808304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26857839 + ... + 26858121.

It is an arithmetic number, because the mean of its divisors is an integer number (101751804).

Almost surely, 2^7600808340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7600808340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210216480).

7600808340 is an abundant number, since it is smaller than the sum of its proper divisors (16819624620).

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

7600808340 is a wasteful number, since it uses less digits than its factorization.

7600808340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7600808340 is about 87182.6148954022. The cubic root of 7600808340 is about 1966.1648474834.

The spelling of 7600808340 in words is "seven billion, six hundred million, eight hundred eight thousand, three hundred forty".