80611200 has 240 divisors, whose sum is σ = 298429560. Its totient is φ = 21427200.

The previous prime is 80611189. The next prime is 80611241. The reversal of 80611200 is 211608.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259045 + ... + 259355.

Almost surely, 2^80611200 is an apocalyptic number.

80611200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80611200 is the 5184-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149214780).

80611200 is an abundant number, since it is smaller than the sum of its proper divisors (217818360).

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

80611200 is a wasteful number, since it uses less digits than its factorization.

80611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 80611200 is about 8978.3740176047. The cubic root of 80611200 is about 431.9814806876.

Adding to 80611200 its reverse (211608), we get a palindrome (80822808).

It can be divided in two parts, 8061 and 1200, that added together give a cube (9261 = 21³).

The spelling of 80611200 in words is "eighty million, six hundred eleven thousand, two hundred".