80079200 has 72 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 30988800.

The previous prime is 80079199. The next prime is 80079203. The reversal of 80079200 is 297008.

It is a self number, because there is not a number n which added to its sum of digits gives 80079200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80079203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23186 + ... + 26414.

It is an arithmetic number, because the mean of its divisors is an integer number (2803640).

Almost surely, 2^80079200 is an apocalyptic number.

80079200 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 80079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

80079200 is an abundant number, since it is smaller than the sum of its proper divisors (121782880).

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

80079200 is a wasteful number, since it uses less digits than its factorization.

80079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 80079200 is about 8948.6982293516. The cubic root of 80079200 is about 431.0290837981.

The spelling of 80079200 in words is "eighty million, seventy-nine thousand, two hundred".