742819896 has 576 divisors, whose sum is σ = 2877638400. Its totient is φ = 174680064.

The previous prime is 742819873. The next prime is 742819897. The reversal of 742819896 is 698918247.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742819897) 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 143 ways as a sum of consecutive naturals, for example, 39095775 + ... + 39095793.

It is an arithmetic number, because the mean of its divisors is an integer number (4995900).

Almost surely, 2^742819896 is an apocalyptic number.

742819896 is a gapful number since it is divisible by the number (76) 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 742819896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438819200).

742819896 is an abundant number, since it is smaller than the sum of its proper divisors (2134818504).

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

742819896 is a wasteful number, since it uses less digits than its factorization.

742819896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 742819896 is about 27254.7224531823. The cubic root of 742819896 is about 905.6516357275.

The spelling of 742819896 in words is "seven hundred forty-two million, eight hundred nineteen thousand, eight hundred ninety-six".