80423288100 has 405 divisors, whose sum is σ = 274531927747. Its totient is φ = 20364030720.

The previous prime is 80423288093. The next prime is 80423288137. The reversal of 80423288100 is 188232408.

It is a happy number.

The square root of 80423288100 is 283590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 234641124 + 80188646976 = 15318^2 + 283176^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×80423288100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 587031232 + ... + 587031368.

Almost surely, 2^80423288100 is an apocalyptic number.

80423288100 is the 283590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80423288100

80423288100 is an abundant number, since it is smaller than the sum of its proper divisors (194108639647).

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

80423288100 is a wasteful number, since it uses less digits than its factorization.

80423288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 80423288100 by its sum of digits (36), we get a square (2895238371600 = 1701540²).

80423288100 divided by its sum of digits (36) gives a square (2233980225 = 47265²).

The spelling of 80423288100 in words is "eighty billion, four hundred twenty-three million, two hundred eighty-eight thousand, one hundred".