77474144 has 48 divisors (see below), whose sum is σ = 168330960. Its totient is φ = 34805760.

The previous prime is 77474141. The next prime is 77474147. The reversal of 77474144 is 44147477.

It is an interprime number because it is at equal distance from previous prime (77474141) and next prime (77474147).

It is a junction number, because it is equal to n+sod(n) for n = 77474098 and 77474107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77474141) 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 7 ways as a sum of consecutive naturals, for example, 30092 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (3506895).

Almost surely, 2^77474144 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 77474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84165480).

77474144 is an abundant number, since it is smaller than the sum of its proper divisors (90856816).

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

77474144 is a wasteful number, since it uses less digits than its factorization.

77474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2575 counting only the distinct ones).

The product of its digits is 87808, while the sum is 38.

The square root of 77474144 is about 8801.9397862062. The cubic root of 77474144 is about 426.3035299972.

The spelling of 77474144 in words is "seventy-seven million, four hundred seventy-four thousand, one hundred forty-four".