742863840 has 96 divisors (see below), whose sum is σ = 2375049600. Its totient is φ = 195131904.

The previous prime is 742863839. The next prime is 742863853. The reversal of 742863840 is 48368247.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 742863792 and 742863801.

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, 20611 + ... + 43709.

It is an arithmetic number, because the mean of its divisors is an integer number (24740100).

Almost surely, 2^742863840 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 742863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187524800).

742863840 is an abundant number, since it is smaller than the sum of its proper divisors (1632185760).

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

742863840 is a wasteful number, since it uses less digits than its factorization.

742863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23184 (or 23176 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 742863840 is about 27255.5286134758. The cubic root of 742863840 is about 905.6694943278.

The spelling of 742863840 in words is "seven hundred forty-two million, eight hundred sixty-three thousand, eight hundred forty".