77804172 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 23604480.

The previous prime is 77804171. The next prime is 77804173. The reversal of 77804172 is 27140877.

It is an interprime number because it is at equal distance from previous prime (77804171) and next prime (77804173).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77804171) 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 31 ways as a sum of consecutive naturals, for example, 56233 + ... + 57599.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^77804172 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 77804172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

77804172 is an abundant number, since it is smaller than the sum of its proper divisors (142826868).

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

77804172 is a wasteful number, since it uses less digits than its factorization.

77804172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 77804172 is about 8820.6673216940. The cubic root of 77804172 is about 426.9080017602.

The spelling of 77804172 in words is "seventy-seven million, eight hundred four thousand, one hundred seventy-two".