80745600 has 192 divisors, whose sum is σ = 286856640. Its totient is φ = 19845120.

The previous prime is 80745559. The next prime is 80745641. The reversal of 80745600 is 654708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80745559) and next prime (80745641).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124477 + ... + 125123.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^80745600 is an apocalyptic number.

80745600 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 80745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

80745600 is an abundant number, since it is smaller than the sum of its proper divisors (206111040).

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

80745600 is a wasteful number, since it uses less digits than its factorization.

80745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 80745600 is about 8985.8555519216. The cubic root of 80745600 is about 432.2214228409.

The spelling of 80745600 in words is "eighty million, seven hundred forty-five thousand, six hundred".