76409520 has 160 divisors (see below), whose sum is σ = 261840384. Its totient is φ = 18278400.

The previous prime is 76409497. The next prime is 76409533. The reversal of 76409520 is 2590467.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271780 + ... + 272060.

Almost surely, 2^76409520 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 76409520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130920192).

76409520 is an abundant number, since it is smaller than the sum of its proper divisors (185430864).

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

76409520 is a wasteful number, since it uses less digits than its factorization.

76409520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 76409520 is about 8741.2539146280. The cubic root of 76409520 is about 424.3418093399.

Adding to 76409520 its reverse (2590467), we get a palindrome (78999987).

The spelling of 76409520 in words is "seventy-six million, four hundred nine thousand, five hundred twenty".