80879760 has 120 divisors (see below), whose sum is σ = 292548984. Its totient is φ = 19906560.

The previous prime is 80879741. The next prime is 80879767. The reversal of 80879760 is 6797808.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 78216336 = 1632^2 + 8844^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80879767) 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, 5040 + ... + 13680.

Almost surely, 2^80879760 is an apocalyptic number.

80879760 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 80879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146274492).

80879760 is an abundant number, since it is smaller than the sum of its proper divisors (211669224).

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

80879760 is a wasteful number, since it uses less digits than its factorization.

80879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 80879760 is about 8993.3175191361. The cubic root of 80879760 is about 432.4606711317.

The spelling of 80879760 in words is "eighty million, eight hundred seventy-nine thousand, seven hundred sixty".