742155960 has 512 divisors, whose sum is σ = 2983680000. Its totient is φ = 146313216.

The previous prime is 742155923. The next prime is 742156007. The reversal of 742155960 is 69551247.

742155960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10166484 + ... + 10166556.

It is an arithmetic number, because the mean of its divisors is an integer number (5827500).

Almost surely, 2^742155960 is an apocalyptic number.

742155960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742155960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491840000).

742155960 is an abundant number, since it is smaller than the sum of its proper divisors (2241524040).

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

742155960 is a wasteful number, since it uses less digits than its factorization.

742155960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 742155960 is about 27242.5395291995. The cubic root of 742155960 is about 905.3817300329.

The spelling of 742155960 in words is "seven hundred forty-two million, one hundred fifty-five thousand, nine hundred sixty".