77767872 has 112 divisors (see below), whose sum is σ = 253300992. Its totient is φ = 20505600.

The previous prime is 77767867. The next prime is 77767883. The reversal of 77767872 is 27876777.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15247 + ... + 19697.

It is an arithmetic number, because the mean of its divisors is an integer number (2261616).

Almost surely, 2^77767872 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 77767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126650496).

77767872 is an abundant number, since it is smaller than the sum of its proper divisors (175533120).

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

77767872 is a wasteful number, since it uses less digits than its factorization.

77767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4476 counting only the distinct ones).

The product of its digits is 1613472, while the sum is 51.

The square root of 77767872 is about 8818.6094141877. The cubic root of 77767872 is about 426.8415992751.

The spelling of 77767872 in words is "seventy-seven million, seven hundred sixty-seven thousand, eight hundred seventy-two".