8117070400 has 42 divisors (see below), whose sum is σ = 19973070290. Its totient is φ = 3246827520.

The previous prime is 8117070371. The next prime is 8117070413. The reversal of 8117070400 is 40707118.

It can be written as a sum of positive squares in 3 ways, for example, as 663165504 + 7453904896 = 25752^2 + 86336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2534985 + ... + 2538184.

Almost surely, 2^8117070400 is an apocalyptic number.

8117070400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8117070400 is an abundant number, since it is smaller than the sum of its proper divisors (11855999890).

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

8117070400 is a wasteful number, since it uses less digits than its factorization.

8117070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073191 (or 5073176 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 8117070400 is about 90094.7856426775. The cubic root of 8117070400 is about 2009.7086613540.

Adding to 8117070400 its reverse (40707118), we get a palindrome (8157777518).

The spelling of 8117070400 in words is "eight billion, one hundred seventeen million, seventy thousand, four hundred".