742957920 has 288 divisors, whose sum is σ = 2669835168. Its totient is φ = 195084288.

The previous prime is 742957877. The next prime is 742957921. The reversal of 742957920 is 29759247.

742957920 is a `hidden beast` number, since 74 + 2 + 9 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742957921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3771262 + ... + 3771458.

It is an arithmetic number, because the mean of its divisors is an integer number (9270261).

Almost surely, 2^742957920 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 742957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334917584).

742957920 is an abundant number, since it is smaller than the sum of its proper divisors (1926877248).

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

742957920 is a wasteful number, since it uses less digits than its factorization.

742957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 742957920 is about 27257.2544472109. The cubic root of 742957920 is about 905.7077255552.

It can be divided in two parts, 74295 and 7920, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 742957920 in words is "seven hundred forty-two million, nine hundred fifty-seven thousand, nine hundred twenty".