76403520 has 224 divisors, whose sum is σ = 277977600. Its totient is φ = 19740672.

The previous prime is 76403513. The next prime is 76403527. The reversal of 76403520 is 2530467.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76403513) and next prime (76403527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403527) 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 31 ways as a sum of consecutive naturals, for example, 319561 + ... + 319799.

Almost surely, 2^76403520 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 76403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

76403520 is an abundant number, since it is smaller than the sum of its proper divisors (201574080).

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

76403520 is a wasteful number, since it uses less digits than its factorization.

76403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

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

The square root of 76403520 is about 8740.9107077009. The cubic root of 76403520 is about 424.3307020089.

Adding to 76403520 its reverse (2530467), we get a palindrome (78933987).

The spelling of 76403520 in words is "seventy-six million, four hundred three thousand, five hundred twenty".