8726400 has 192 divisors, whose sum is σ = 32252400. Its totient is φ = 2304000.

The previous prime is 8726383. The next prime is 8726401. The reversal of 8726400 is 46278.

8726400 = T₈₂₃ + T₈₂₄ + ... + T₈₄₇.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8726401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86350 + ... + 86450.

Almost surely, 2^8726400 is an apocalyptic number.

8726400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126200).

8726400 is an abundant number, since it is smaller than the sum of its proper divisors (23526000).

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

8726400 is a wasteful number, since it uses less digits than its factorization.

8726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8726400 is about 2954.0480700219. The cubic root of 8726400 is about 205.8788365946.

The spelling of 8726400 in words is "eight million, seven hundred twenty-six thousand, four hundred".