8151779520 has 224 divisors, whose sum is σ = 28851148800. Its totient is φ = 2166746112.

The previous prime is 8151779509. The next prime is 8151779527. The reversal of 8151779520 is 259771518.

8151779520 is a `hidden beast` number, since 8 + 1 + 51 + 7 + 79 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8151779527) 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, 2996721 + ... + 2999439.

Almost surely, 2^8151779520 is an apocalyptic number.

8151779520 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 8151779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425574400).

8151779520 is an abundant number, since it is smaller than the sum of its proper divisors (20699369280).

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

8151779520 is a wasteful number, since it uses less digits than its factorization.

8151779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 8151779520 is about 90287.2057381332. The cubic root of 8151779520 is about 2012.5691362641.

The spelling of 8151779520 in words is "eight billion, one hundred fifty-one million, seven hundred seventy-nine thousand, five hundred twenty".