76312044 has 60 divisors (see below), whose sum is σ = 200393424. Its totient is φ = 25322976.

The previous prime is 76312043. The next prime is 76312081. The reversal of 76312044 is 44021367.

76312044 is a `hidden beast` number, since 7 + 631 + 20 + 4 + 4 = 666.

It is a super-3 number, since 3×76312044³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 76311999 and 76312017.

It is not an unprimeable number, because it can be changed into a prime (76312043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102337 + ... + 103079.

Almost surely, 2^76312044 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 76312044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100196712).

76312044 is an abundant number, since it is smaller than the sum of its proper divisors (124081380).

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

76312044 is a wasteful number, since it uses less digits than its factorization.

76312044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76312044 is about 8735.6765049995. The cubic root of 76312044 is about 424.1612875771.

The spelling of 76312044 in words is "seventy-six million, three hundred twelve thousand, forty-four".