77406760 has 64 divisors (see below), whose sum is σ = 184680000. Its totient is φ = 29117952.

The previous prime is 77406739. The next prime is 77406767. The reversal of 77406760 is 6760477.

It is not an unprimeable number, because it can be changed into a prime (77406767) 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, 135756 + ... + 136324.

It is an arithmetic number, because the mean of its divisors is an integer number (2885625).

Almost surely, 2^77406760 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 77406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92340000).

77406760 is an abundant number, since it is smaller than the sum of its proper divisors (107273240).

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

77406760 is a wasteful number, since it uses less digits than its factorization.

77406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 77406760 is about 8798.1111609254. Note that the first 4 decimals coincide. The cubic root of 77406760 is about 426.1799000657.

The spelling of 77406760 in words is "seventy-seven million, four hundred six thousand, seven hundred sixty".