8146872400 has 30 divisors (see below), whose sum is σ = 19572861902. Its totient is φ = 3258748800.

The previous prime is 8146872373. The next prime is 8146872401. The reversal of 8146872400 is 42786418.

It can be written as a sum of positive squares in 3 ways, for example, as 2607940624 + 5538931776 = 51068^2 + 74424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146872401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10183191 + ... + 10183990.

Almost surely, 2^8146872400 is an apocalyptic number.

8146872400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8146872400 is an abundant number, since it is smaller than the sum of its proper divisors (11425989502).

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

8146872400 is a wasteful number, since it uses less digits than its factorization.

8146872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20367199 (or 20367188 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8146872400 is about 90260.0265898476. The cubic root of 8146872400 is about 2012.1652203435.

The spelling of 8146872400 in words is "eight billion, one hundred forty-six million, eight hundred seventy-two thousand, four hundred".