76769448 has 64 divisors (see below), whose sum is σ = 224463360. Its totient is φ = 21422016.

The previous prime is 76769447. The next prime is 76769453. The reversal of 76769448 is 84496767.

It is a super-3 number, since 3×76769448³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76769448.

It is not an unprimeable number, because it can be changed into a prime (76769447) 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, 1911 + ... + 12537.

It is an arithmetic number, because the mean of its divisors is an integer number (3507240).

Almost surely, 2^76769448 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 76769448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112231680).

76769448 is an abundant number, since it is smaller than the sum of its proper divisors (147693912).

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

76769448 is a wasteful number, since it uses less digits than its factorization.

76769448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10682 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 76769448 is about 8761.8176196495. The cubic root of 76769448 is about 425.0070550155.

The spelling of 76769448 in words is "seventy-six million, seven hundred sixty-nine thousand, four hundred forty-eight".