77101440 has 128 divisors (see below), whose sum is σ = 264751200. Its totient is φ = 18972672.

The previous prime is 77101421. The next prime is 77101441. The reversal of 77101440 is 4410177.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77101440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77101441) 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, 23416 + ... + 26504.

Almost surely, 2^77101440 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 77101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132375600).

77101440 is an abundant number, since it is smaller than the sum of its proper divisors (187649760).

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

77101440 is a wasteful number, since it uses less digits than its factorization.

77101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77101440 is about 8780.7425654098. The cubic root of 77101440 is about 425.6188263103.

The spelling of 77101440 in words is "seventy-seven million, one hundred one thousand, four hundred forty".