80233776000 has 1152 divisors, whose sum is σ = 341697152160. Its totient is φ = 17985945600.

The previous prime is 80233775987. The next prime is 80233776001. The reversal of 80233776000 is 67733208.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×80233776000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80233776001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585647932 + ... + 585648068.

Almost surely, 2^80233776000 is an apocalyptic number.

80233776000 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 80233776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170848576080).

80233776000 is an abundant number, since it is smaller than the sum of its proper divisors (261463376160).

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

80233776000 is a wasteful number, since it uses less digits than its factorization.

80233776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 80233776000 in words is "eighty billion, two hundred thirty-three million, seven hundred seventy-six thousand".