742277760 has 128 divisors (see below), whose sum is σ = 2704060800. Its totient is φ = 169660416.

The previous prime is 742277747. The next prime is 742277771. The reversal of 742277760 is 67772247.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14175 + ... + 41054.

It is an arithmetic number, because the mean of its divisors is an integer number (21125475).

Almost surely, 2^742277760 is an apocalyptic number.

742277760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742277760 is an abundant number, since it is smaller than the sum of its proper divisors (1961783040).

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

742277760 is a wasteful number, since it uses less digits than its factorization.

742277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55258 (or 55246 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 742277760 is about 27244.7749118982. The cubic root of 742277760 is about 905.4312566681.

The spelling of 742277760 in words is "seven hundred forty-two million, two hundred seventy-seven thousand, seven hundred sixty".