80288786400 has 576 divisors, whose sum is σ = 294956121600. Its totient is φ = 18868101120.

The previous prime is 80288786399. The next prime is 80288786441. The reversal of 80288786400 is 468788208.

It is a super-3 number, since 3×80288786400³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38804566 + ... + 38806634.

It is an arithmetic number, because the mean of its divisors is an integer number (512076600).

Almost surely, 2^80288786400 is an apocalyptic number.

80288786400 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 80288786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147478060800).

80288786400 is an abundant number, since it is smaller than the sum of its proper divisors (214667335200).

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

80288786400 is a wasteful number, since it uses less digits than its factorization.

80288786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 80288786400 in words is "eighty billion, two hundred eighty-eight million, seven hundred eighty-six thousand, four hundred".