76773672 has 96 divisors (see below), whose sum is σ = 218181600. Its totient is φ = 24355968.

The previous prime is 76773647. The next prime is 76773673. The reversal of 76773672 is 27637767.

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 (76773673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173083 + ... + 173525.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 2^76773672 is an apocalyptic number.

76773672 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 76773672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

76773672 is an abundant number, since it is smaller than the sum of its proper divisors (141407928).

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

76773672 is a wasteful number, since it uses less digits than its factorization.

76773672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 76773672 is about 8762.0586622095. The cubic root of 76773672 is about 425.0148497695.

The spelling of 76773672 in words is "seventy-six million, seven hundred seventy-three thousand, six hundred seventy-two".