80728000 has 56 divisors (see below), whose sum is σ = 199942704. Its totient is φ = 32288000.

The previous prime is 80727947. The next prime is 80728009. The reversal of 80728000 is 82708.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80728009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 13045.

Almost surely, 2^80728000 is an apocalyptic number.

80728000 is a gapful number since it is divisible by the number (80) 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 80728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99971352).

80728000 is an abundant number, since it is smaller than the sum of its proper divisors (119214704).

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

80728000 is a wasteful number, since it uses less digits than its factorization.

80728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 80728000 is about 8984.8761816733. The cubic root of 80728000 is about 432.1900170024.

The spelling of 80728000 in words is "eighty million, seven hundred twenty-eight thousand".