77127928416 has 864 divisors, whose sum is σ = 293632335360. Its totient is φ = 18756587520.

The previous prime is 77127928399. The next prime is 77127928429. The reversal of 77127928416 is 61482972177.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331021036 + ... + 331021268.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 2^77127928416 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 77127928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146816167680).

77127928416 is an abundant number, since it is smaller than the sum of its proper divisors (216504406944).

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

77127928416 is a wasteful number, since it uses less digits than its factorization.

77127928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 77127928416 in words is "seventy-seven billion, one hundred twenty-seven million, nine hundred twenty-eight thousand, four hundred sixteen".