77642292728 has 512 divisors, whose sum is σ = 211805798400. Its totient is φ = 25716787200.

The previous prime is 77642292703. The next prime is 77642292769. The reversal of 77642292728 is 82729224677.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725628851 + ... + 725628957.

It is an arithmetic number, because the mean of its divisors is an integer number (413683200).

Almost surely, 2^77642292728 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 77642292728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105902899200).

77642292728 is an abundant number, since it is smaller than the sum of its proper divisors (134163505672).

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

77642292728 is a wasteful number, since it uses less digits than its factorization.

77642292728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 56.

The spelling of 77642292728 in words is "seventy-seven billion, six hundred forty-two million, two hundred ninety-two thousand, seven hundred twenty-eight".