76285344 has 48 divisors (see below), whose sum is σ = 201858048. Its totient is φ = 25224192.

The previous prime is 76285343. The next prime is 76285367. The reversal of 76285344 is 44358267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76285343) 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, 9064 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (4205376).

Almost surely, 2^76285344 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 76285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100929024).

76285344 is an abundant number, since it is smaller than the sum of its proper divisors (125572704).

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

76285344 is a wasteful number, since it uses less digits than its factorization.

76285344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6389 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 76285344 is about 8734.1481553727. The cubic root of 76285344 is about 424.1118133970. Note that the first 3 decimals are identical.

The spelling of 76285344 in words is "seventy-six million, two hundred eighty-five thousand, three hundred forty-four".