8786361600 has 540 divisors, whose sum is σ = 34432694604. Its totient is φ = 2202992640.

The previous prime is 8786361581. The next prime is 8786361607. The reversal of 8786361600 is 61636878.

8786361600 is a `hidden beast` number, since 8 + 7 + 8 + 6 + 36 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 372335616 + 8414025984 = 19296^2 + 91728^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (8786361607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812302 + ... + 8813298.

Almost surely, 2^8786361600 is an apocalyptic number.

8786361600 is a gapful number since it is divisible by the number (80) 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 8786361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216347302).

8786361600 is an abundant number, since it is smaller than the sum of its proper divisors (25646333004).

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

8786361600 is a wasteful number, since it uses less digits than its factorization.

8786361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8786361600 is about 93735.5940931725. The cubic root of 8786361600 is about 2063.4931151165.

The spelling of 8786361600 in words is "eight billion, seven hundred eighty-six million, three hundred sixty-one thousand, six hundred".