80768016 has 200 divisors, whose sum is σ = 277273920. Its totient is φ = 22208256.

The previous prime is 80767963. The next prime is 80768021. The reversal of 80768016 is 61086708.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262935 + ... + 263241.

Almost surely, 2^80768016 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 80768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

80768016 is an abundant number, since it is smaller than the sum of its proper divisors (196505904).

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

80768016 is a wasteful number, since it uses less digits than its factorization.

80768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

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

The square root of 80768016 is about 8987.1027589541. The cubic root of 80768016 is about 432.2614158518.

Adding to 80768016 its product of nonzero digits (16128), we get a square (80784144 = 8988²).

The spelling of 80768016 in words is "eighty million, seven hundred sixty-eight thousand, sixteen".