76475520 has 384 divisors, whose sum is σ = 309329280. Its totient is φ = 17203200.

The previous prime is 76475491. The next prime is 76475527. The reversal of 76475520 is 2557467.

76475520 is a `hidden beast` number, since 7 + 64 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (76475527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1077085 + ... + 1077155.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 2^76475520 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 76475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

76475520 is an abundant number, since it is smaller than the sum of its proper divisors (232853760).

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

76475520 is a wasteful number, since it uses less digits than its factorization.

76475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 76475520 is about 8745.0283018410. The cubic root of 76475520 is about 424.4639516226.

The spelling of 76475520 in words is "seventy-six million, four hundred seventy-five thousand, five hundred twenty".