76269720 has 64 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 19904384.

The previous prime is 76269719. The next prime is 76269727. The reversal of 76269720 is 2796267.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76269727) 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 15 ways as a sum of consecutive naturals, for example, 1122 + ... + 12401.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^76269720 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 76269720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

76269720 is an abundant number, since it is smaller than the sum of its proper divisors (157425000).

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

76269720 is a wasteful number, since it uses less digits than its factorization.

76269720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 76269720 is about 8733.2536892043. The cubic root of 76269720 is about 424.0828573090.

The spelling of 76269720 in words is "seventy-six million, two hundred sixty-nine thousand, seven hundred twenty".