77347440 has 80 divisors (see below), whose sum is σ = 266426400. Its totient is φ = 20625408.

The previous prime is 77347421. The next prime is 77347447. The reversal of 77347440 is 4474377.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 77347395 and 77347404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77347447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15745 + ... + 20064.

It is an arithmetic number, because the mean of its divisors is an integer number (3330330).

Almost surely, 2^77347440 is an apocalyptic number.

It is an amenable number.

77347440 is an abundant number, since it is smaller than the sum of its proper divisors (189078960).

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

77347440 is a wasteful number, since it uses less digits than its factorization.

77347440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35831 (or 35819 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 77347440 is about 8794.7393366717. The cubic root of 77347440 is about 426.0710058193.

The spelling of 77347440 in words is "seventy-seven million, three hundred forty-seven thousand, four hundred forty".