8770420800 has 840 divisors, whose sum is σ = 34756465920. Its totient is φ = 2164838400.

The previous prime is 8770420777. The next prime is 8770420871. The reversal of 8770420800 is 80240778.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148651171 + ... + 148651229.

Almost surely, 2^8770420800 is an apocalyptic number.

8770420800 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 8770420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378232960).

8770420800 is an abundant number, since it is smaller than the sum of its proper divisors (25986045120).

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

8770420800 is a wasteful number, since it uses less digits than its factorization.

8770420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8770420800 is about 93650.5248250110. The cubic root of 8770420800 is about 2062.2444509828.

The spelling of 8770420800 in words is "eight billion, seven hundred seventy million, four hundred twenty thousand, eight hundred".