80207005200 has 240 divisors, whose sum is σ = 303760260480. Its totient is φ = 17700802560.

The previous prime is 80207005169. The next prime is 80207005211. The reversal of 80207005200 is 250070208.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78972 + ... + 408228.

It is an arithmetic number, because the mean of its divisors is an integer number (1265667752).

Almost surely, 2^80207005200 is an apocalyptic number.

80207005200 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 80207005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151880130240).

80207005200 is an abundant number, since it is smaller than the sum of its proper divisors (223553255280).

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

80207005200 is a wasteful number, since it uses less digits than its factorization.

80207005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329314 (or 329303 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 80207005200 its reverse (250070208), we get a palindrome (80457075408).

The spelling of 80207005200 in words is "eighty billion, two hundred seven million, five thousand, two hundred".