80782080 has 144 divisors (see below), whose sum is σ = 261713760. Its totient is φ = 21233664.

The previous prime is 80782069. The next prime is 80782133. The reversal of 80782080 is 8028708.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418464 + ... + 418656.

Almost surely, 2^80782080 is an apocalyptic number.

80782080 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 80782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130856880).

80782080 is an abundant number, since it is smaller than the sum of its proper divisors (180931680).

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

80782080 is a wasteful number, since it uses less digits than its factorization.

80782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 80782080 is about 8987.8851795069. The cubic root of 80782080 is about 432.2865040489.

The spelling of 80782080 in words is "eighty million, seven hundred eighty-two thousand, eighty".