77411680 has 48 divisors (see below), whose sum is σ = 183831984. Its totient is φ = 30804480.

The previous prime is 77411657. The next prime is 77411689. The reversal of 77411680 is 8611477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77411689) 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, 32614 + ... + 34906.

It is an arithmetic number, because the mean of its divisors is an integer number (3829833).

Almost surely, 2^77411680 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 77411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91915992).

77411680 is an abundant number, since it is smaller than the sum of its proper divisors (106420304).

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

77411680 is a wasteful number, since it uses less digits than its factorization.

77411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 77411680 is about 8798.3907619519. The cubic root of 77411680 is about 426.1889292542.

The spelling of 77411680 in words is "seventy-seven million, four hundred eleven thousand, six hundred eighty".