80119200 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 17280000.

The previous prime is 80119163. The next prime is 80119201. The reversal of 80119200 is 291108.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80119201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319075 + ... + 319325.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^80119200 is an apocalyptic number.

80119200 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 80119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

80119200 is an abundant number, since it is smaller than the sum of its proper divisors (234860640).

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

80119200 is a wasteful number, since it uses less digits than its factorization.

80119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 80119200 is about 8950.9329122723. The cubic root of 80119200 is about 431.1008389833.

The spelling of 80119200 in words is "eighty million, one hundred nineteen thousand, two hundred".