80773200 has 210 divisors, whose sum is σ = 292003694. Its totient is φ = 21461760.

The previous prime is 80773153. The next prime is 80773201. The reversal of 80773200 is 237708.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 80353296 = 648^2 + 8964^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80773201) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 291462 + ... + 291738.

Almost surely, 2^80773200 is an apocalyptic number.

80773200 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 80773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146001847).

80773200 is an abundant number, since it is smaller than the sum of its proper divisors (211230494).

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

80773200 is a wasteful number, since it uses less digits than its factorization.

80773200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 80773200 is about 8987.3911676303. The cubic root of 80773200 is about 432.2706637173.

The spelling of 80773200 in words is "eighty million, seven hundred seventy-three thousand, two hundred".