76448142 has 48 divisors (see below), whose sum is σ = 172386240. Its totient is φ = 24463296.

The previous prime is 76448137. The next prime is 76448143. The reversal of 76448142 is 24184467.

76448142 is a `hidden beast` number, since 7 + 644 + 8 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76448097 and 76448106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76448143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51888 + ... + 53340.

It is an arithmetic number, because the mean of its divisors is an integer number (3591380).

Almost surely, 2^76448142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76448142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86193120).

76448142 is an abundant number, since it is smaller than the sum of its proper divisors (95938098).

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

76448142 is a wasteful number, since it uses less digits than its factorization.

76448142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1574 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 76448142 is about 8743.4628151551. The cubic root of 76448142 is about 424.4132933157.

The spelling of 76448142 in words is "seventy-six million, four hundred forty-eight thousand, one hundred forty-two".