80892806400 has 486 divisors, whose sum is σ = 336439743822. Its totient is φ = 18489139200.

The previous prime is 80892806387. The next prime is 80892806419. The reversal of 80892806400 is 460829808.

It is a happy number.

80892806400 is a `hidden beast` number, since 80 + 8 + 92 + 80 + 6 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24621375744 + 56271430656 = 156912^2 + 237216^2 .

It is a super-2 number, since 2×80892806400² (a number of 23 digits) contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 2808070 + ... + 2836730.

Almost surely, 2^80892806400 is an apocalyptic number.

80892806400 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 80892806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168219871911).

80892806400 is an abundant number, since it is smaller than the sum of its proper divisors (255546937422).

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

80892806400 is a wasteful number, since it uses less digits than its factorization.

80892806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28707 (or 28678 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 80892806400 in words is "eighty billion, eight hundred ninety-two million, eight hundred six thousand, four hundred".