8706070400 has 288 divisors, whose sum is σ = 23256193800. Its totient is φ = 3217674240.

The previous prime is 8706070381. The next prime is 8706070441. The reversal of 8706070400 is 40706078.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62633531 + ... + 62633669.

Almost surely, 2^8706070400 is an apocalyptic number.

8706070400 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 8706070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628096900).

8706070400 is an abundant number, since it is smaller than the sum of its proper divisors (14550123400).

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

8706070400 is a wasteful number, since it uses less digits than its factorization.

8706070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 8706070400 is about 93306.3256162196. The cubic root of 8706070400 is about 2057.1883595167.

Adding to 8706070400 its reverse (40706078), we get a palindrome (8746776478).

The spelling of 8706070400 in words is "eight billion, seven hundred six million, seventy thousand, four hundred".