76523040 has 144 divisors (see below), whose sum is σ = 284933376. Its totient is φ = 18547200.

The previous prime is 76523039. The next prime is 76523099. The reversal of 76523040 is 4032567.

It is a happy number.

76523040 is a `hidden beast` number, since 7 + 652 + 3 + 0 + 4 + 0 = 666.

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

It is a super-3 number, since 3×76523040³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76522995 and 76523013.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13425 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (1978704).

Almost surely, 2^76523040 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 76523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142466688).

76523040 is an abundant number, since it is smaller than the sum of its proper divisors (208410336).

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

76523040 is a wasteful number, since it uses less digits than its factorization.

76523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76523040 is about 8747.7448522462. The cubic root of 76523040 is about 424.5518505590.

The spelling of 76523040 in words is "seventy-six million, five hundred twenty-three thousand, forty".