80906400 has 216 divisors, whose sum is σ = 302535324. Its totient is φ = 20275200.

The previous prime is 80906369. The next prime is 80906401. The reversal of 80906400 is 460908.

It can be written as a sum of positive squares in 6 ways, for example, as 53406864 + 27499536 = 7308^2 + 5244^2 .

It is not an unprimeable number, because it can be changed into a prime (80906401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122070 + ... + 122730.

Almost surely, 2^80906400 is an apocalyptic number.

80906400 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 80906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151267662).

80906400 is an abundant number, since it is smaller than the sum of its proper divisors (221628924).

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

80906400 is a wasteful number, since it uses less digits than its factorization.

80906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80906400 is about 8994.7984969092. The cubic root of 80906400 is about 432.5081469057.

The spelling of 80906400 in words is "eighty million, nine hundred six thousand, four hundred".