741682800 has 180 divisors, whose sum is σ = 2725472880. Its totient is φ = 186132480.

The previous prime is 741682793. The next prime is 741682807. The reversal of 741682800 is 8286147.

It is an interprime number because it is at equal distance from previous prime (741682793) and next prime (741682807).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741682807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55141 + ... + 67259.

It is an arithmetic number, because the mean of its divisors is an integer number (15141516).

Almost surely, 2^741682800 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 741682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362736440).

741682800 is an abundant number, since it is smaller than the sum of its proper divisors (1983790080).

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

741682800 is a wasteful number, since it uses less digits than its factorization.

741682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12160 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 741682800 is about 27233.8539321926. The cubic root of 741682800 is about 905.1892810444.

The spelling of 741682800 in words is "seven hundred forty-one million, six hundred eighty-two thousand, eight hundred".