77644476 has 144 divisors (see below), whose sum is σ = 244730304. Its totient is φ = 20210688.

The previous prime is 77644459. The next prime is 77644477. The reversal of 77644476 is 67444677.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77644477) 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 47 ways as a sum of consecutive naturals, for example, 448726 + ... + 448898.

It is an arithmetic number, because the mean of its divisors is an integer number (1699516).

Almost surely, 2^77644476 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 77644476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122365152).

77644476 is an abundant number, since it is smaller than the sum of its proper divisors (167085828).

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

77644476 is a wasteful number, since it uses less digits than its factorization.

77644476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 77644476 is about 8811.6102955135. The cubic root of 77644476 is about 426.6157200996.

The spelling of 77644476 in words is "seventy-seven million, six hundred forty-four thousand, four hundred seventy-six".