80827770100 has 144 divisors (see below), whose sum is σ = 220485638016. Its totient is φ = 25192780800.

The previous prime is 80827770091. The next prime is 80827770103. The reversal of 80827770100 is 107772808.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80827770103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888324 + ... + 975076.

It is an arithmetic number, because the mean of its divisors is an integer number (1531150264).

Almost surely, 2^80827770100 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 80827770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242819008).

80827770100 is an abundant number, since it is smaller than the sum of its proper divisors (139657867916).

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

80827770100 is a wasteful number, since it uses less digits than its factorization.

80827770100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86807 (or 86778 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The spelling of 80827770100 in words is "eighty billion, eight hundred twenty-seven million, seven hundred seventy thousand, one hundred".