76275738 has 72 divisors (see below), whose sum is σ = 207645984. Its totient is φ = 19807920.

The previous prime is 76275737. The next prime is 76275739. The reversal of 76275738 is 83757267.

76275738 is a `hidden beast` number, since 76 + 2 + 7 + 573 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (76275737) and next prime (76275739).

Its product of digits (493920) is a multiple of the sum of its prime factors (5040).

It is a junction number, because it is equal to n+sod(n) for n = 76275693 and 76275702.

It is not an unprimeable number, because it can be changed into a prime (76275737) 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 35 ways as a sum of consecutive naturals, for example, 12745 + ... + 17747.

It is an arithmetic number, because the mean of its divisors is an integer number (2883972).

Almost surely, 2^76275738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76275738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822992).

76275738 is an abundant number, since it is smaller than the sum of its proper divisors (131370246).

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

76275738 is a wasteful number, since it uses less digits than its factorization.

76275738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5026 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 76275738 is about 8733.5982275349. The cubic root of 76275738 is about 424.0940109862.

The spelling of 76275738 in words is "seventy-six million, two hundred seventy-five thousand, seven hundred thirty-eight".