80319680 has 112 divisors (see below), whose sum is σ = 228234240. Its totient is φ = 26323968.

The previous prime is 80319677. The next prime is 80319683. The reversal of 80319680 is 8691308.

It is an interprime number because it is at equal distance from previous prime (80319677) and next prime (80319683).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 80319680.

It is not an unprimeable number, because it can be changed into a prime (80319683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50741 + ... + 52299.

Almost surely, 2^80319680 is an apocalyptic number.

80319680 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 80319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

80319680 is an abundant number, since it is smaller than the sum of its proper divisors (147914560).

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

80319680 is a wasteful number, since it uses less digits than its factorization.

80319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 80319680 is about 8962.1247480717. The cubic root of 80319680 is about 431.4601166105.

The spelling of 80319680 in words is "eighty million, three hundred nineteen thousand, six hundred eighty".