80006784 has 256 divisors, whose sum is σ = 263208960. Its totient is φ = 21196800.

The previous prime is 80006783. The next prime is 80006803. The reversal of 80006784 is 48760008.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80006783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702249 + ... + 1702295.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^80006784 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 80006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

80006784 is an abundant number, since it is smaller than the sum of its proper divisors (183202176).

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

80006784 is a wasteful number, since it uses less digits than its factorization.

80006784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 80006784 is about 8944.6511390887. The cubic root of 80006784 is about 430.8991173996.

The spelling of 80006784 in words is "eighty million, six thousand, seven hundred eighty-four".