7086340800 has 1134 divisors, whose sum is σ = 32592265524. Its totient is φ = 1454745600.

The previous prime is 7086340787. The next prime is 7086340819. The reversal of 7086340800 is 80436807.

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 85377559 + ... + 85377641.

Almost surely, 2^7086340800 is an apocalyptic number.

7086340800 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 7086340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296132762).

7086340800 is an abundant number, since it is smaller than the sum of its proper divisors (25505924724).

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

7086340800 is a wasteful number, since it uses less digits than its factorization.

7086340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

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

The square root of 7086340800 is about 84180.4062712933. The cubic root of 7086340800 is about 1920.7640188530.

The spelling of 7086340800 in words is "seven billion, eighty-six million, three hundred forty thousand, eight hundred".