77980344 has 64 divisors (see below), whose sum is σ = 211965600. Its totient is φ = 23763456.

The previous prime is 77980321. The next prime is 77980361. The reversal of 77980344 is 44308977.

It is a junction number, because it is equal to n+sod(n) for n = 77980296 and 77980305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32862 + ... + 35154.

Almost surely, 2^77980344 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 77980344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105982800).

77980344 is an abundant number, since it is smaller than the sum of its proper divisors (133985256).

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

77980344 is a wasteful number, since it uses less digits than its factorization.

77980344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 77980344 is about 8830.6479943433. The cubic root of 77980344 is about 427.2299748217.

The spelling of 77980344 in words is "seventy-seven million, nine hundred eighty thousand, three hundred forty-four".