7078168800 has 360 divisors, whose sum is σ = 27175995000. Its totient is φ = 1787857920.

The previous prime is 7078168777. The next prime is 7078168829. The reversal of 7078168800 is 88618707.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7078168800² (a number of 21 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1228326 + ... + 1234074.

It is an arithmetic number, because the mean of its divisors is an integer number (75488875).

Almost surely, 2^7078168800 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 7078168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587997500).

7078168800 is an abundant number, since it is smaller than the sum of its proper divisors (20097826200).

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

7078168800 is a wasteful number, since it uses less digits than its factorization.

7078168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 7078168800 is about 84131.8536584093. The cubic root of 7078168800 is about 1920.0253902892.

The spelling of 7078168800 in words is "seven billion, seventy-eight million, one hundred sixty-eight thousand, eight hundred".