80007561600 has 384 divisors, whose sum is σ = 268097126400. Its totient is φ = 20968980480.

The previous prime is 80007561593. The next prime is 80007561619. The reversal of 80007561600 is 616570008.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167030161 + ... + 167030639.

It is an arithmetic number, because the mean of its divisors is an integer number (698169600).

Almost surely, 2^80007561600 is an apocalyptic number.

80007561600 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 80007561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134048563200).

80007561600 is an abundant number, since it is smaller than the sum of its proper divisors (188089564800).

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

80007561600 is a wasteful number, since it uses less digits than its factorization.

80007561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 80007561600 in words is "eighty billion, seven million, five hundred sixty-one thousand, six hundred".