76789728 has 192 divisors, whose sum is σ = 239984640. Its totient is φ = 23846400.

The previous prime is 76789723. The next prime is 76789729. The reversal of 76789728 is 82798767.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2370816) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76789721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258818 + ... + 1258878.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^76789728 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 76789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

76789728 is an abundant number, since it is smaller than the sum of its proper divisors (163194912).

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

76789728 is a wasteful number, since it uses less digits than its factorization.

76789728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

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

The square root of 76789728 is about 8762.9748373483. The cubic root of 76789728 is about 425.0444760836.

The spelling of 76789728 in words is "seventy-six million, seven hundred eighty-nine thousand, seven hundred twenty-eight".