80386768 has 80 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 30844800.

The previous prime is 80386741. The next prime is 80386769. The reversal of 80386768 is 86768308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80386769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87013 + ... + 87931.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 2^80386768 is an apocalyptic number.

80386768 is a gapful number since it is divisible by the number (88) 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 80386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

80386768 is an abundant number, since it is smaller than the sum of its proper divisors (116743472).

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

80386768 is a wasteful number, since it uses less digits than its factorization.

80386768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 80386768 is about 8965.8668292586. The cubic root of 80386768 is about 431.5802106353.

It can be divided in two parts, 803 and 86768, that added together give a triangular number (87571 = T₄₁₈).

The spelling of 80386768 in words is "eighty million, three hundred eighty-six thousand, seven hundred sixty-eight".