77103872 has 36 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 38396928.

The previous prime is 77103869. The next prime is 77103883. The reversal of 77103872 is 27830177.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88913 + ... + 89775.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2^77103872 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 77103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

77103872 is an abundant number, since it is smaller than the sum of its proper divisors (77422528).

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

77103872 is an equidigital number, since it uses as much as digits as its factorization.

77103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 77103872 is about 8780.8810491886. The cubic root of 77103872 is about 425.6233013417.

The spelling of 77103872 in words is "seventy-seven million, one hundred three thousand, eight hundred seventy-two".