8077164480 has 1344 divisors, whose sum is σ = 38343352320. Its totient is φ = 1567641600.

The previous prime is 8077164397. The next prime is 8077164509. The reversal of 8077164480 is 844617708.

8077164480 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 164 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113762845 + ... + 113762915.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^8077164480 is an apocalyptic number.

8077164480 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 8077164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

8077164480 is an abundant number, since it is smaller than the sum of its proper divisors (30266187840).

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

8077164480 is a wasteful number, since it uses less digits than its factorization.

8077164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8077164480 is about 89873.0464599927. The cubic root of 8077164480 is about 2006.4098085645.

The spelling of 8077164480 in words is "eight billion, seventy-seven million, one hundred sixty-four thousand, four hundred eighty".