742377792 has 168 divisors, whose sum is σ = 2155277376. Its totient is φ = 225398784.

The previous prime is 742377791. The next prime is 742377803. The reversal of 742377792 is 297773247.

It is a happy number.

It is a super-2 number, since 2×742377792² = 1102249572109590528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742377791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4445293 + ... + 4445459.

It is an arithmetic number, because the mean of its divisors is an integer number (12829032).

Almost surely, 2^742377792 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 742377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077638688).

742377792 is an abundant number, since it is smaller than the sum of its proper divisors (1412899584).

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

742377792 is a wasteful number, since it uses less digits than its factorization.

742377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 48.

The square root of 742377792 is about 27246.6106516022. The cubic root of 742377792 is about 905.4719278903.

The spelling of 742377792 in words is "seven hundred forty-two million, three hundred seventy-seven thousand, seven hundred ninety-two".