76736436 has 144 divisors (see below), whose sum is σ = 226934400. Its totient is φ = 19740672.

The previous prime is 76736417. The next prime is 76736437. The reversal of 76736436 is 63463767.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76736437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703950 + ... + 704058.

Almost surely, 2^76736436 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 76736436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113467200).

76736436 is an abundant number, since it is smaller than the sum of its proper divisors (150197964).

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

76736436 is a wasteful number, since it uses less digits than its factorization.

76736436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its digits is 381024, while the sum is 42.

The square root of 76736436 is about 8759.9335613919. The cubic root of 76736436 is about 424.9461265046.

The spelling of 76736436 in words is "seventy-six million, seven hundred thirty-six thousand, four hundred thirty-six".