78576 has 20 divisors (see below), whose sum is σ = 203112. Its totient is φ = 26176.

The previous prime is 78571. The next prime is 78577. The reversal of 78576 is 67587.

78576 = T₉₁ + T₉₂ + ... + T₁₀₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 771 + ... + 866.

2⁷⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

78576 is an abundant number, since it is smaller than the sum of its proper divisors (124536).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

78576 is a wasteful number, since it uses less digits than its factorization.

78576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 78576 is about 280.3141095272. The cubic root of 78576 is about 42.8315021229.

It can be divided in two parts, 785 and 76, that added together give a triangular number (861 = T₄₁).

The spelling of 78576 in words is "seventy-eight thousand, five hundred seventy-six".