80768400 has 60 divisors (see below), whose sum is σ = 258731952. Its totient is φ = 21537920.

The previous prime is 80768399. The next prime is 80768407. The reversal of 80768400 is 486708.

It is a tau number, because it is divible by the number of its divisors (60).

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 not an unprimeable number, because it can be changed into a prime (80768407) 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 11 ways as a sum of consecutive naturals, for example, 32454 + ... + 34853.

Almost surely, 2^80768400 is an apocalyptic number.

80768400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80768400 is an abundant number, since it is smaller than the sum of its proper divisors (177963552).

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

80768400 is a wasteful number, since it uses less digits than its factorization.

80768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67328 (or 67317 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 80768400 is about 8987.1241228771. The cubic root of 80768400 is about 432.2621008924.

The spelling of 80768400 in words is "eighty million, seven hundred sixty-eight thousand, four hundred".