8136770880 has 448 divisors, whose sum is σ = 30805770240. Its totient is φ = 1780531200.

The previous prime is 8136770879. The next prime is 8136770891. The reversal of 8136770880 is 880776318.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28956340 + ... + 28956620.

It is an arithmetic number, because the mean of its divisors is an integer number (68762880).

Almost surely, 2^8136770880 is an apocalyptic number.

8136770880 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 8136770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402885120).

8136770880 is an abundant number, since it is smaller than the sum of its proper divisors (22668999360).

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

8136770880 is a wasteful number, since it uses less digits than its factorization.

8136770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 8136770880 is about 90204.0513502581. The cubic root of 8136770880 is about 2011.3332309659. Note that the first 3 decimals are identical.

The spelling of 8136770880 in words is "eight billion, one hundred thirty-six million, seven hundred seventy thousand, eight hundred eighty".