76041504 has 288 divisors, whose sum is σ = 281788416. Its totient is φ = 19595520.

The previous prime is 76041499. The next prime is 76041517. The reversal of 76041504 is 40514067.

76041504 is a `hidden beast` number, since 7 + 604 + 1 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598689 + ... + 598815.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 2^76041504 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 76041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

76041504 is an abundant number, since it is smaller than the sum of its proper divisors (205746912).

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

76041504 is a wasteful number, since it uses less digits than its factorization.

76041504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76041504 is about 8720.1779798350. The cubic root of 76041504 is about 423.6594512454.

The spelling of 76041504 in words is "seventy-six million, forty-one thousand, five hundred four".