77770940 has 48 divisors (see below), whose sum is σ = 181574400. Its totient is φ = 27786240.

The previous prime is 77770907. The next prime is 77770949. The reversal of 77770940 is 4907777.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77770949) 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, 3236 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (3782800).

Almost surely, 2^77770940 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 77770940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90787200).

77770940 is an abundant number, since it is smaller than the sum of its proper divisors (103803460).

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

77770940 is a wasteful number, since it uses less digits than its factorization.

77770940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 86436, while the sum is 41.

The square root of 77770940 is about 8818.7833628001. The cubic root of 77770940 is about 426.8472122734.

It can be divided in two parts, 777 and 70940, that added together give a palindrome (71717).

The spelling of 77770940 in words is "seventy-seven million, seven hundred seventy thousand, nine hundred forty".