76220320 has 144 divisors (see below), whose sum is σ = 205922304. Its totient is φ = 26611200.

The previous prime is 76220317. The next prime is 76220327. The reversal of 76220320 is 2302267.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 76220291 and 76220300.

It is not an unprimeable number, because it can be changed into a prime (76220327) 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, 600097 + ... + 600223.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 2^76220320 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 76220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152).

76220320 is an abundant number, since it is smaller than the sum of its proper divisors (129701984).

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

76220320 is a wasteful number, since it uses less digits than its factorization.

76220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 76220320 is about 8730.4249610199. The cubic root of 76220320 is about 423.9912778555.

Adding to 76220320 its reverse (2302267), we get a palindrome (78522587).

The spelling of 76220320 in words is "seventy-six million, two hundred twenty thousand, three hundred twenty".