8077457920 has 160 divisors (see below), whose sum is σ = 22587840000. Its totient is φ = 2769113088.

The previous prime is 8077457909. The next prime is 8077457933. The reversal of 8077457920 is 297547708.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873481 + ... + 882679.

It is an arithmetic number, because the mean of its divisors is an integer number (141174000).

Almost surely, 2^8077457920 is an apocalyptic number.

8077457920 is a gapful number since it is divisible by the number (80) 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 8077457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293920000).

8077457920 is an abundant number, since it is smaller than the sum of its proper divisors (14510382080).

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

8077457920 is an frugal number, since it uses more digits than its factorization.

8077457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9243 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The square root of 8077457920 is about 89874.6789702194. The cubic root of 8077457920 is about 2006.4341056127.

The spelling of 8077457920 in words is "eight billion, seventy-seven million, four hundred fifty-seven thousand, nine hundred twenty".