742798560 has 96 divisors (see below), whose sum is σ = 2674086912. Its totient is φ = 169781760.

The previous prime is 742798543. The next prime is 742798583. The reversal of 742798560 is 65897247.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 107176 + ... + 113895.

It is an arithmetic number, because the mean of its divisors is an integer number (27855072).

Almost surely, 2^742798560 is an apocalyptic number.

742798560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742798560 is an abundant number, since it is smaller than the sum of its proper divisors (1931288352).

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

742798560 is a wasteful number, since it uses less digits than its factorization.

742798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221096 (or 221088 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 742798560 is about 27254.3310319663. The cubic root of 742798560 is about 905.6429646403.

The spelling of 742798560 in words is "seven hundred forty-two million, seven hundred ninety-eight thousand, five hundred sixty".