76452642 has 120 divisors (see below), whose sum is σ = 203184540. Its totient is φ = 20744640.

The previous prime is 76452611. The next prime is 76452643. The reversal of 76452642 is 24625467.

76452642 is a `hidden beast` number, since 7 + 6 + 4 + 5 + 2 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70207641 + 6245001 = 8379^2 + 2499^2 .

Its product of digits (80640) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 76452597 and 76452606.

It is not an unprimeable number, because it can be changed into a prime (76452643) 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 59 ways as a sum of consecutive naturals, for example, 1253292 + ... + 1253352.

Almost surely, 2^76452642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76452642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101592270).

76452642 is an abundant number, since it is smaller than the sum of its proper divisors (126731898).

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

76452642 is a wasteful number, since it uses less digits than its factorization.

76452642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 76452642 is about 8743.7201464823. The cubic root of 76452642 is about 424.4216206266.

The spelling of 76452642 in words is "seventy-six million, four hundred fifty-two thousand, six hundred forty-two".