77027410460 has 192 divisors, whose sum is σ = 217424148480. Its totient is φ = 22137338880.

The previous prime is 77027410459. The next prime is 77027410463. The reversal of 77027410460 is 6401472077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77027410463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26404922 + ... + 26407838.

It is an arithmetic number, because the mean of its divisors is an integer number (1132417440).

Almost surely, 2^77027410460 is an apocalyptic number.

77027410460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77027410460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108712074240).

77027410460 is an abundant number, since it is smaller than the sum of its proper divisors (140396738020).

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

77027410460 is a wasteful number, since it uses less digits than its factorization.

77027410460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 77027410460 in words is "seventy-seven billion, twenty-seven million, four hundred ten thousand, four hundred sixty".