76720 has 40 divisors (see below), whose sum is σ = 205344. Its totient is φ = 26112.

The previous prime is 76717. The next prime is 76733. The reversal of 76720 is 2767.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 76691 and 76700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 628.

2⁷⁶⁷²⁰ is an apocalyptic number.

76720 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 76720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672).

76720 is an abundant number, since it is smaller than the sum of its proper divisors (128624).

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

76720 is a wasteful number, since it uses less digits than its factorization.

76720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 76720 is about 276.9837540362. The cubic root of 76720 is about 42.4915784928.

It can be divided in two parts, 767 and 20, that added together give a palindrome (787).

The spelling of 76720 in words is "seventy-six thousand, seven hundred twenty".