76825224 has 96 divisors (see below), whose sum is σ = 239041920. Its totient is φ = 21835008.

The previous prime is 76825207. The next prime is 76825237. The reversal of 76825224 is 42252867.

It is a Cunningham number, because it is equal to 8765²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157509 + ... + 157995.

It is an arithmetic number, because the mean of its divisors is an integer number (2490020).

Almost surely, 2^76825224 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 76825224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520960).

76825224 is an abundant number, since it is smaller than the sum of its proper divisors (162216696).

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

76825224 is a wasteful number, since it uses less digits than its factorization.

76825224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 812 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 76825224 is about 8764.9999429549. Note that the first 4 decimals coincide. The cubic root of 76825224 is about 425.1099581691.

The spelling of 76825224 in words is "seventy-six million, eight hundred twenty-five thousand, two hundred twenty-four".