77117440 has 96 divisors (see below), whose sum is σ = 196363440. Its totient is φ = 28966912.

The previous prime is 77117401. The next prime is 77117441. The reversal of 77117440 is 4471177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77117441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173859 + ... + 174301.

Almost surely, 2^77117440 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 77117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98181720).

77117440 is an abundant number, since it is smaller than the sum of its proper divisors (119246000).

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

77117440 is a wasteful number, since it uses less digits than its factorization.

77117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 77117440 is about 8781.6536028245. The cubic root of 77117440 is about 425.6482655798.

It can be divided in two parts, 7711 and 7440, that added together give a palindrome (15151).

The spelling of 77117440 in words is "seventy-seven million, one hundred seventeen thousand, four hundred forty".