7126400 has 96 divisors (see below), whose sum is σ = 18782280. Its totient is φ = 2662400.

The previous prime is 7126393. The next prime is 7126429. The reversal of 7126400 is 46217.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 54335 + ... + 54465.

Almost surely, 2^7126400 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 7126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391140).

7126400 is an abundant number, since it is smaller than the sum of its proper divisors (11655880).

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

7126400 is a wasteful number, since it uses less digits than its factorization.

7126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7126400 is about 2669.5317941542. The cubic root of 7126400 is about 192.4376590170.

The spelling of 7126400 in words is "seven million, one hundred twenty-six thousand, four hundred".