80517120 has 96 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 21463040.

The previous prime is 80517119. The next prime is 80517131. The reversal of 80517120 is 2171508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×80517120² = 12966013226188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29410 + ... + 32030.

Almost surely, 2^80517120 is an apocalyptic number.

80517120 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 80517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

80517120 is an abundant number, since it is smaller than the sum of its proper divisors (177173040).

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

80517120 is a wasteful number, since it uses less digits than its factorization.

80517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 80517120 is about 8973.1332320433. The cubic root of 80517120 is about 431.8133624510.

Adding to 80517120 its reverse (2171508), we get a palindrome (82688628).

The spelling of 80517120 in words is "eighty million, five hundred seventeen thousand, one hundred twenty".