8071334400 has 120 divisors (see below), whose sum is σ = 26663275584. Its totient is φ = 2152345600.

The previous prime is 8071334399. The next prime is 8071334413. The reversal of 8071334400 is 44331708.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66696 + ... + 143495.

Almost surely, 2^8071334400 is an apocalyptic number.

8071334400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8071334400 is an abundant number, since it is smaller than the sum of its proper divisors (18591941184).

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

8071334400 is a wasteful number, since it uses less digits than its factorization.

8071334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210222 (or 210201 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 8071334400 is about 89840.6055188855. The cubic root of 8071334400 is about 2005.9269516051.

The spelling of 8071334400 in words is "eight billion, seventy-one million, three hundred thirty-four thousand, four hundred".