7871400 has 72 divisors (see below), whose sum is σ = 26440830. Its totient is φ = 2098560.

The previous prime is 7871393. The next prime is 7871411. The reversal of 7871400 is 41787.

It can be written as a sum of positive squares in 3 ways, for example, as 6081156 + 1790244 = 2466^2 + 1338^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387 + ... + 3986.

Almost surely, 2^7871400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220415).

7871400 is an abundant number, since it is smaller than the sum of its proper divisors (18569430).

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

7871400 is a wasteful number, since it uses less digits than its factorization.

7871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7871400 is about 2805.6015397772. The cubic root of 7871400 is about 198.9225391476.

It can be divided in two parts, 787 and 1400, that added together give a 7-th power (2187 = 3⁷).

The spelling of 7871400 in words is "seven million, eight hundred seventy-one thousand, four hundred".