80788752 has 120 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 24468480.

The previous prime is 80788739. The next prime is 80788753. The reversal of 80788752 is 25788708.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 80788698 and 80788707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80788753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41824 + ... + 43712.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^80788752 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 80788752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

80788752 is an abundant number, since it is smaller than the sum of its proper divisors (175132368).

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

80788752 is a wasteful number, since it uses less digits than its factorization.

80788752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 80788752 is about 8988.2563381337. The cubic root of 80788752 is about 432.2984049398.

The spelling of 80788752 in words is "eighty million, seven hundred eighty-eight thousand, seven hundred fifty-two".