76775472 has 80 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 24475968.

The previous prime is 76775471. The next prime is 76775473. The reversal of 76775472 is 27457767.

It is an interprime number because it is at equal distance from previous prime (76775471) and next prime (76775473).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76775471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6073 + ... + 13799.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^76775472 is an apocalyptic number.

76775472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76775472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

76775472 is an abundant number, since it is smaller than the sum of its proper divisors (153209808).

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

76775472 is a wasteful number, since it uses less digits than its factorization.

76775472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7755 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 76775472 is about 8762.1613771946. The cubic root of 76775472 is about 425.0181713107.

The spelling of 76775472 in words is "seventy-six million, seven hundred seventy-five thousand, four hundred seventy-two".