8214010800 has 60 divisors (see below), whose sum is σ = 26312218440. Its totient is φ = 2190402560.

The previous prime is 8214010781. The next prime is 8214010811. The reversal of 8214010800 is 80104128.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3421305 + ... + 3423704.

It is an arithmetic number, because the mean of its divisors is an integer number (438536974).

Almost surely, 2^8214010800 is an apocalyptic number.

8214010800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214010800 is an abundant number, since it is smaller than the sum of its proper divisors (18098207640).

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

8214010800 is a wasteful number, since it uses less digits than its factorization.

8214010800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845030 (or 6845019 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8214010800 is about 90631.1800651409. The cubic root of 8214010800 is about 2017.6775255341.

Adding to 8214010800 its reverse (80104128), we get a palindrome (8294114928).

The spelling of 8214010800 in words is "eight billion, two hundred fourteen million, ten thousand, eight hundred".