86782100 has 36 divisors (see below), whose sum is σ = 189196224. Its totient is φ = 34550880.

The previous prime is 86782099. The next prime is 86782103. The reversal of 86782100 is 128768.

It is a super-2 number, since 2×86782100² = 15062265760820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86782103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20789 + ... + 24611.

Almost surely, 2^86782100 is an apocalyptic number.

It is an amenable number.

86782100 is an abundant number, since it is smaller than the sum of its proper divisors (102414124).

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

86782100 is a wasteful number, since it uses less digits than its factorization.

86782100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 86782100 is about 9315.6910640059. The cubic root of 86782100 is about 442.7345198382.

The spelling of 86782100 in words is "eighty-six million, seven hundred eighty-two thousand, one hundred".