76969440 has 120 divisors (see below), whose sum is σ = 271683720. Its totient is φ = 20521728.

The previous prime is 76969439. The next prime is 76969447. The reversal of 76969440 is 4496967.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76969447) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9991 + ... + 15929.

It is an arithmetic number, because the mean of its divisors is an integer number (2264031).

Almost surely, 2^76969440 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 76969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841860).

76969440 is an abundant number, since it is smaller than the sum of its proper divisors (194714280).

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

76969440 is a wasteful number, since it uses less digits than its factorization.

76969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76969440 is about 8773.2228969746. Note that the first 3 decimals coincide. The cubic root of 76969440 is about 425.3757967932.

The spelling of 76969440 in words is "seventy-six million, nine hundred sixty-nine thousand, four hundred forty".