80416600 has 72 divisors (see below), whose sum is σ = 205572780. Its totient is φ = 29233600.

The previous prime is 80416561. The next prime is 80416601. The reversal of 80416600 is 661408.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80416601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22539 + ... + 25861.

Almost surely, 2^80416600 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 80416600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102786390).

80416600 is an abundant number, since it is smaller than the sum of its proper divisors (125156180).

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

80416600 is a wasteful number, since it uses less digits than its factorization.

80416600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 80416600 is about 8967.5303177631. The cubic root of 80416600 is about 431.6335913465.

It can be divided in two parts, 8041 and 6600, that added together give a palindrome (14641).

The spelling of 80416600 in words is "eighty million, four hundred sixteen thousand, six hundred".