8720822880 has 672 divisors, whose sum is σ = 38552226048. Its totient is φ = 1810252800.

The previous prime is 8720822857. The next prime is 8720822909. The reversal of 8720822880 is 882280278.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 8980795 + ... + 8981765.

It is an arithmetic number, because the mean of its divisors is an integer number (57369384).

Almost surely, 2^8720822880 is an apocalyptic number.

8720822880 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 8720822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276113024).

8720822880 is an abundant number, since it is smaller than the sum of its proper divisors (29831403168).

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

8720822880 is a wasteful number, since it uses less digits than its factorization.

8720822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 8720822880 is about 93385.3461737975. The cubic root of 8720822880 is about 2058.3496758124.

The spelling of 8720822880 in words is "eight billion, seven hundred twenty million, eight hundred twenty-two thousand, eight hundred eighty".