80784000 has 512 divisors, whose sum is σ = 343699200. Its totient is φ = 18432000.

The previous prime is 80783999. The next prime is 80784001. The reversal of 80784000 is 48708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80783999) and next prime (80784001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80784001) 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, 4751992 + ... + 4752008.

Almost surely, 2^80784000 is an apocalyptic number.

80784000 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 80784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

80784000 is an abundant number, since it is smaller than the sum of its proper divisors (262915200).

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

80784000 is a wasteful number, since it uses less digits than its factorization.

80784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80784000 is about 8987.9919893155. The cubic root of 80784000 is about 432.2899288329.

The spelling of 80784000 in words is "eighty million, seven hundred eighty-four thousand".