80016768 has 192 divisors, whose sum is σ = 257590800. Its totient is φ = 24440832.

The previous prime is 80016767. The next prime is 80016779. The reversal of 80016768 is 86761008.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×80016768² = 12805366322331648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80016767) 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, 583996 + ... + 584132.

Almost surely, 2^80016768 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 80016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128795400).

80016768 is an abundant number, since it is smaller than the sum of its proper divisors (177574032).

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

80016768 is a wasteful number, since it uses less digits than its factorization.

80016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80016768 is about 8945.2092205828. The cubic root of 80016768 is about 430.9170405374.

The spelling of 80016768 in words is "eighty million, sixteen thousand, seven hundred sixty-eight".