80772127200 has 432 divisors, whose sum is σ = 307291800816. Its totient is φ = 19888128000.

The previous prime is 80772127193. The next prime is 80772127207. The reversal of 80772127200 is 272127708.

It is an interprime number because it is at equal distance from previous prime (80772127193) and next prime (80772127207).

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 (80772127207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6480975 + ... + 6493425.

It is an arithmetic number, because the mean of its divisors is an integer number (711323613).

Almost surely, 2^80772127200 is an apocalyptic number.

80772127200 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 80772127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153645900408).

80772127200 is an abundant number, since it is smaller than the sum of its proper divisors (226519673616).

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

80772127200 is a wasteful number, since it uses less digits than its factorization.

80772127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 80772127200 in words is "eighty billion, seven hundred seventy-two million, one hundred twenty-seven thousand, two hundred".