7861618800 has 540 divisors, whose sum is σ = 32540167296. Its totient is φ = 1751500800.

The previous prime is 7861618781. The next prime is 7861618801. The reversal of 7861618800 is 88161687.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7861618801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7231857 + ... + 7232943.

Almost surely, 2^7861618800 is an apocalyptic number.

7861618800 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 7861618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270083648).

7861618800 is an abundant number, since it is smaller than the sum of its proper divisors (24678548496).

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

7861618800 is a wasteful number, since it uses less digits than its factorization.

7861618800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 7861618800 is about 88665.7701709064. The cubic root of 7861618800 is about 1988.4010960851.

The spelling of 7861618800 in words is "seven billion, eight hundred sixty-one million, six hundred eighteen thousand, eight hundred".