96780 has 24 divisors (see below), whose sum is σ = 271152. Its totient is φ = 25792.

The previous prime is 96779. The next prime is 96787. The reversal of 96780 is 8769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (96787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (11298).

2⁹⁶⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

96780 is an abundant number, since it is smaller than the sum of its proper divisors (174372).

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 (135576).

96780 is a wasteful number, since it uses less digits than its factorization.

96780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 96780 is about 311.0948408444. The cubic root of 96780 is about 45.9122460573.

The spelling of 96780 in words is "ninety-six thousand, seven hundred eighty".