80411600 has 60 divisors (see below), whose sum is σ = 196885836. Its totient is φ = 31549440.

The previous prime is 80411593. The next prime is 80411621. The reversal of 80411600 is 611408.

It can be written as a sum of positive squares in 6 ways, for example, as 3182656 + 77228944 = 1784^2 + 8788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19304 + ... + 23096.

Almost surely, 2^80411600 is an apocalyptic number.

80411600 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 80411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98442918).

80411600 is an abundant number, since it is smaller than the sum of its proper divisors (116474236).

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

80411600 is a wasteful number, since it uses less digits than its factorization.

80411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 80411600 is about 8967.2515298725. The cubic root of 80411600 is about 431.6246453797.

Subtracting from 80411600 its product of nonzero digits (192), we obtain a palindrome (80411408).

The spelling of 80411600 in words is "eighty million, four hundred eleven thousand, six hundred".