10758400 has 81 divisors (see below), whose sum is σ = 27294043. Its totient is φ = 4198400.

The previous prime is 10758383. The next prime is 10758401. The reversal of 10758400 is 485701.

The square root of 10758400 is 3280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 6230016 = 2128^2 + 2496^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10758401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262380 + ... + 262420.

Almost surely, 2^10758400 is an apocalyptic number.

10758400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10758400 is the 3280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10758400

10758400 is an abundant number, since it is smaller than the sum of its proper divisors (16535643).

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

10758400 is an frugal number, since it uses more digits than its factorization.

10758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The cubic root of 10758400 is about 220.7577178716.

Multiplying 10758400 by its sum of digits (25), we get a square (268960000 = 16400²).

10758400 divided by its sum of digits (25) gives a square (430336 = 656²).

The spelling of 10758400 in words is "ten million, seven hundred fifty-eight thousand, four hundred".