801272888416 has 384 divisors, whose sum is σ = 2176750485504. Its totient is φ = 280261969920.

The previous prime is 801272888411. The next prime is 801272888419. The reversal of 801272888416 is 614888272108.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801272888411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251417575 + ... + 251420761.

It is an arithmetic number, because the mean of its divisors is an integer number (5668621056).

Almost surely, 2^801272888416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801272888416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088375242752).

801272888416 is an abundant number, since it is smaller than the sum of its proper divisors (1375477597088).

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

801272888416 is a wasteful number, since it uses less digits than its factorization.

801272888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 55.

The spelling of 801272888416 in words is "eight hundred one billion, two hundred seventy-two million, eight hundred eighty-eight thousand, four hundred sixteen".