77682779460 has 1344 divisors, whose sum is σ = 316509016320. Its totient is φ = 15721205760.

The previous prime is 77682779459. The next prime is 77682779507. The reversal of 77682779460 is 6497728677.

It is a super-2 number, since 2×77682779460² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1465712794 + ... + 1465712846.

It is an arithmetic number, because the mean of its divisors is an integer number (235497780).

Almost surely, 2^77682779460 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 77682779460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158254508160).

77682779460 is an abundant number, since it is smaller than the sum of its proper divisors (238826236860).

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

77682779460 is a wasteful number, since it uses less digits than its factorization.

77682779460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 77682779460 in words is "seventy-seven billion, six hundred eighty-two million, seven hundred seventy-nine thousand, four hundred sixty".