70980 has 72 divisors (see below), whose sum is σ = 245952. Its totient is φ = 14976.

The previous prime is 70979. The next prime is 70981. The reversal of 70980 is 8907.

It is an interprime number because it is at equal distance from previous prime (70979) and next prime (70981).

It is a self number, because there is not a number n which added to its sum of digits gives 70980.

It is not an unprimeable number, because it can be changed into a prime (70981) 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, 5454 + ... + 5466.

It is an arithmetic number, because the mean of its divisors is an integer number (3416).

2⁷⁰⁹⁸⁰ is an apocalyptic number.

70980 is a gapful number since it is divisible by the number (70) 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 70980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976).

70980 is an abundant number, since it is smaller than the sum of its proper divisors (174972).

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

70980 is a wasteful number, since it uses less digits than its factorization.

70980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 70980 is about 266.4207199149. The cubic root of 70980 is about 41.4042890373.

The spelling of 70980 in words is "seventy thousand, nine hundred eighty".