86076876000 has 384 divisors, whose sum is σ = 294405052032. Its totient is φ = 21964800000.

The previous prime is 86076875993. The next prime is 86076876001. The reversal of 86076876000 is 67867068.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86076876001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26074350 + ... + 26077650.

It is an arithmetic number, because the mean of its divisors is an integer number (766679823).

Almost surely, 2^86076876000 is an apocalyptic number.

86076876000 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 86076876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202526016).

86076876000 is an abundant number, since it is smaller than the sum of its proper divisors (208328176032).

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

86076876000 is a wasteful number, since it uses less digits than its factorization.

86076876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 86076876000 in words is "eighty-six billion, seventy-six million, eight hundred seventy-six thousand".