742089600 has 480 divisors, whose sum is σ = 3137336400. Its totient is φ = 169205760.

The previous prime is 742089599. The next prime is 742089629. The reversal of 742089600 is 6980247.

742089600 is a `hidden beast` number, since 7 + 42 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814196 + ... + 1814604.

Almost surely, 2^742089600 is an apocalyptic number.

742089600 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 742089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568668200).

742089600 is an abundant number, since it is smaller than the sum of its proper divisors (2395246800).

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

742089600 is a wasteful number, since it uses less digits than its factorization.

742089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 742089600 is about 27241.3215538454. The cubic root of 742089600 is about 905.3547442753.

It can be divided in two parts, 7420 and 89600, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 742089600 in words is "seven hundred forty-two million, eighty-nine thousand, six hundred".