80609760 has 288 divisors, whose sum is σ = 343429632. Its totient is φ = 16727040.

The previous prime is 80609729. The next prime is 80609797. The reversal of 80609760 is 6790608.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110517 + ... + 111243.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^80609760 is an apocalyptic number.

80609760 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 80609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

80609760 is an abundant number, since it is smaller than the sum of its proper divisors (262819872).

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

80609760 is a wasteful number, since it uses less digits than its factorization.

80609760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 80609760 is about 8978.2938245526. The cubic root of 80609760 is about 431.9789084353.

The spelling of 80609760 in words is "eighty million, six hundred nine thousand, seven hundred sixty".