742629888 has 720 divisors, whose sum is σ = 3056429376. Its totient is φ = 170311680.

The previous prime is 742629863. The next prime is 742629907. The reversal of 742629888 is 888926247.

742629888 is a `hidden beast` number, since 7 + 4 + 2 + 629 + 8 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32288245 + ... + 32288267.

Almost surely, 2^742629888 is an apocalyptic number.

742629888 is a gapful number since it is divisible by the number (78) 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 742629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688).

742629888 is an abundant number, since it is smaller than the sum of its proper divisors (2313799488).

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

742629888 is a wasteful number, since it uses less digits than its factorization.

742629888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 742629888 is about 27251.2364490127. The cubic root of 742629888 is about 905.5744094123.

The spelling of 742629888 in words is "seven hundred forty-two million, six hundred twenty-nine thousand, eight hundred eighty-eight".