70760 has 32 divisors (see below), whose sum is σ = 167400. Its totient is φ = 26880.

The previous prime is 70753. The next prime is 70769. The reversal of 70760 is 6707.

It can be written as a sum of positive squares in 4 ways, for example, as 37636 + 33124 = 194^2 + 182^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70760.

It is not an unprimeable number, because it can be changed into a prime (70769) by changing a digit.

70760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130 + ... + 1190.

2⁷⁰⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83700).

70760 is an abundant number, since it is smaller than the sum of its proper divisors (96640).

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

70760 is a wasteful number, since it uses less digits than its factorization.

70760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 70760 is about 266.0075186907. The cubic root of 70760 is about 41.3614677225.

It can be divided in two parts, 707 and 60, that added together give a palindrome (767).

The spelling of 70760 in words is "seventy thousand, seven hundred sixty".