7078870400 has 192 divisors, whose sum is σ = 20271202560. Its totient is φ = 2392320000.

The previous prime is 7078870373. The next prime is 7078870417. The reversal of 7078870400 is 40788707.

It is a happy number.

It is a super-2 number, since 2×7078870400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588175 + ... + 1592625.

It is an arithmetic number, because the mean of its divisors is an integer number (105579180).

Almost surely, 2^7078870400 is an apocalyptic number.

7078870400 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 7078870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135601280).

7078870400 is an abundant number, since it is smaller than the sum of its proper divisors (13192332160).

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

7078870400 is a wasteful number, since it uses less digits than its factorization.

7078870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 7078870400 is about 84136.0232005293. The cubic root of 7078870400 is about 1920.0888269090.

The spelling of 7078870400 in words is "seven billion, seventy-eight million, eight hundred seventy thousand, four hundred".