76045536 has 144 divisors (see below), whose sum is σ = 251282304. Its totient is φ = 21364992.

The previous prime is 76045523. The next prime is 76045559. The reversal of 76045536 is 63554067.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76045536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134791 + ... + 135353.

It is an arithmetic number, because the mean of its divisors is an integer number (1745016).

Almost surely, 2^76045536 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 76045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125641152).

76045536 is an abundant number, since it is smaller than the sum of its proper divisors (175236768).

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

76045536 is a wasteful number, since it uses less digits than its factorization.

76045536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 76045536 is about 8720.4091647124. The cubic root of 76045536 is about 423.6669391067. Note that the first 3 decimals are identical.

The spelling of 76045536 in words is "seventy-six million, forty-five thousand, five hundred thirty-six".