80665761600 has 1680 divisors, whose sum is σ = 345735371520. Its totient is φ = 18314035200.

The previous prime is 80665761569. The next prime is 80665761611. The reversal of 80665761600 is 616756608.

80665761600 is a `hidden beast` number, since 8 + 0 + 66 + 576 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1716292777 + ... + 1716292823.

It is an arithmetic number, because the mean of its divisors is an integer number (205794864).

Almost surely, 2^80665761600 is an apocalyptic number.

80665761600 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 80665761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172867685760).

80665761600 is an abundant number, since it is smaller than the sum of its proper divisors (265069609920).

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

80665761600 is a wasteful number, since it uses less digits than its factorization.

80665761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 80665761600 in words is "eighty billion, six hundred sixty-five million, seven hundred sixty-one thousand, six hundred".