80225661600 has 864 divisors, whose sum is σ = 340018862400. Its totient is φ = 18202060800.

The previous prime is 80225661583. The next prime is 80225661601. The reversal of 80225661600 is 616652208.

80225661600 is a `hidden beast` number, since 80 + 2 + 2 + 566 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80225661601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242373435 + ... + 242373765.

It is an arithmetic number, because the mean of its divisors is an integer number (393540350).

Almost surely, 2^80225661600 is an apocalyptic number.

80225661600 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 80225661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170009431200).

80225661600 is an abundant number, since it is smaller than the sum of its proper divisors (259793200800).

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

80225661600 is a wasteful number, since it uses less digits than its factorization.

80225661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 80225661600 in words is "eighty billion, two hundred twenty-five million, six hundred sixty-one thousand, six hundred".