340782800 has 30 divisors (see below), whose sum is σ = 818731638. Its totient is φ = 136312960.

The previous prime is 340782797. The next prime is 340782809. The reversal of 340782800 is 8287043.

It can be written as a sum of positive squares in 3 ways, for example, as 93161104 + 247621696 = 9652^2 + 15736^2 .

It is a super-2 number, since 2×340782800² = 232265833551680000, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340782809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425579 + ... + 426378.

Almost surely, 2^340782800 is an apocalyptic number.

It is an amenable number.

340782800 is an abundant number, since it is smaller than the sum of its proper divisors (477948838).

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

340782800 is a wasteful number, since it uses less digits than its factorization.

340782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851975 (or 851964 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 340782800 is about 18460.3033561207. The cubic root of 340782800 is about 698.4884390059.

The spelling of 340782800 in words is "three hundred forty million, seven hundred eighty-two thousand, eight hundred".