7893400544 has 96 divisors (see below), whose sum is σ = 16803956736. Its totient is φ = 3639144960.

The previous prime is 7893400519. The next prime is 7893400591. The reversal of 7893400544 is 4450043987.

It is a junction number, because it is equal to n+sod(n) for n = 7893400495 and 7893400504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7916654 + ... + 7917650.

It is an arithmetic number, because the mean of its divisors is an integer number (175041216).

Almost surely, 2^7893400544 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 7893400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401978368).

7893400544 is an abundant number, since it is smaller than the sum of its proper divisors (8910556192).

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

7893400544 is a wasteful number, since it uses less digits than its factorization.

7893400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 7893400544 is about 88844.8115761410. The cubic root of 7893400544 is about 1991.0769608914.

The spelling of 7893400544 in words is "seven billion, eight hundred ninety-three million, four hundred thousand, five hundred forty-four".