76772448 has 96 divisors (see below), whose sum is σ = 226890720. Its totient is φ = 25567488.

The previous prime is 76772441. The next prime is 76772453. The reversal of 76772448 is 84427767.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76772441) 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, 69436 + ... + 70532.

It is an arithmetic number, because the mean of its divisors is an integer number (2363445).

Almost surely, 2^76772448 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 76772448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113445360).

76772448 is an abundant number, since it is smaller than the sum of its proper divisors (150118272).

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

76772448 is an equidigital number, since it uses as much as digits as its factorization.

76772448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1102 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 76772448 is about 8761.9888153318. The cubic root of 76772448 is about 425.0125910918.

The spelling of 76772448 in words is "seventy-six million, seven hundred seventy-two thousand, four hundred forty-eight".