80706960 has 120 divisors (see below), whose sum is σ = 272895480. Its totient is φ = 21374976.

The previous prime is 80706947. The next prime is 80706961. The reversal of 80706960 is 6960708.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 64834704 = 3984^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×80706960² = 13027226784883200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80706961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141556 + ... + 142124.

It is an arithmetic number, because the mean of its divisors is an integer number (2274129).

Almost surely, 2^80706960 is an apocalyptic number.

80706960 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 80706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447740).

80706960 is an abundant number, since it is smaller than the sum of its proper divisors (192188520).

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

80706960 is a wasteful number, since it uses less digits than its factorization.

80706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

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

The square root of 80706960 is about 8983.7052489493. The cubic root of 80706960 is about 432.1524667594.

The spelling of 80706960 in words is "eighty million, seven hundred six thousand, nine hundred sixty".