8077621728 has 48 divisors (see below), whose sum is σ = 23131374336. Its totient is φ = 2447763840.

The previous prime is 8077621709. The next prime is 8077621729. The reversal of 8077621728 is 8271267708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8077621729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3823576 + ... + 3825687.

It is an arithmetic number, because the mean of its divisors is an integer number (481903632).

Almost surely, 2^8077621728 is an apocalyptic number.

8077621728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8077621728 is an abundant number, since it is smaller than the sum of its proper divisors (15053752608).

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

8077621728 is a wasteful number, since it uses less digits than its factorization.

8077621728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649287 (or 7649279 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 8077621728 is about 89875.5902790073. The cubic root of 8077621728 is about 2006.4476687799.

The spelling of 8077621728 in words is "eight billion, seventy-seven million, six hundred twenty-one thousand, seven hundred twenty-eight".