7864138800 has 960 divisors, whose sum is σ = 35204889600. Its totient is φ = 1625702400.

The previous prime is 7864138787. The next prime is 7864138811. The reversal of 7864138800 is 88314687.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37270695 + ... + 37270905.

It is an arithmetic number, because the mean of its divisors is an integer number (36671760).

Almost surely, 2^7864138800 is an apocalyptic number.

7864138800 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 7864138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602444800).

7864138800 is an abundant number, since it is smaller than the sum of its proper divisors (27340750800).

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

7864138800 is a wasteful number, since it uses less digits than its factorization.

7864138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7864138800 is about 88679.9797022981. The cubic root of 7864138800 is about 1988.6135305126.

The spelling of 7864138800 in words is "seven billion, eight hundred sixty-four million, one hundred thirty-eight thousand, eight hundred".