7865100000 has 360 divisors, whose sum is σ = 28941725736. Its totient is φ = 2095200000.

The previous prime is 7865099981. The next prime is 7865100011. The reversal of 7865100000 is 15687.

7865100000 is a `hidden beast` number, since 7 + 8 + 651 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) 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 (27).

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, 8099515 + ... + 8100485.

Almost surely, 2^7865100000 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 7865100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470862868).

7865100000 is an abundant number, since it is smaller than the sum of its proper divisors (21076625736).

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

7865100000 is an frugal number, since it uses more digits than its factorization.

7865100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7865100000 is about 88685.3990237401. The cubic root of 7865100000 is about 1988.6945471165.

Adding to 7865100000 its reverse (15687), we get a palindrome (7865115687).

The spelling of 7865100000 in words is "seven billion, eight hundred sixty-five million, one hundred thousand".