7845346080 has 576 divisors, whose sum is σ = 32493726720. Its totient is φ = 1697587200.

The previous prime is 7845346013. The next prime is 7845346139. The reversal of 7845346080 is 806435487.

7845346080 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 34 + 608 + 0 = 666.

It is a super-2 number, since 2×7845346080² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6382906 + ... + 6384134.

It is an arithmetic number, because the mean of its divisors is an integer number (56412720).

Almost surely, 2^7845346080 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 7845346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246863360).

7845346080 is an abundant number, since it is smaller than the sum of its proper divisors (24648380640).

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

7845346080 is a wasteful number, since it uses less digits than its factorization.

7845346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7845346080 is about 88573.9582495894. The cubic root of 7845346080 is about 1987.0282217109.

The spelling of 7845346080 in words is "seven billion, eight hundred forty-five million, three hundred forty-six thousand, eighty".