77941760 has 88 divisors (see below), whose sum is σ = 201523056. Its totient is φ = 28753920.

The previous prime is 77941723. The next prime is 77941769. The reversal of 77941760 is 6714977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77941769) 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, 65975 + ... + 67145.

Almost surely, 2^77941760 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 77941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100761528).

77941760 is an abundant number, since it is smaller than the sum of its proper divisors (123581296).

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

77941760 is a wasteful number, since it uses less digits than its factorization.

77941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 77941760 is about 8828.4630598989. The cubic root of 77941760 is about 427.1594999643.

The spelling of 77941760 in words is "seventy-seven million, nine hundred forty-one thousand, seven hundred sixty".