742742000 has 480 divisors, whose sum is σ = 2500714944. Its totient is φ = 209664000.

The previous prime is 742741999. The next prime is 742742047. The reversal of 742742000 is 247247.

742742000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14013974 + ... + 14014026.

Almost surely, 2^742742000 is an apocalyptic number.

742742000 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 742742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250357472).

742742000 is an abundant number, since it is smaller than the sum of its proper divisors (1757972944).

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

742742000 is a wasteful number, since it uses less digits than its factorization.

742742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 742742000 is about 27253.2933789661. The cubic root of 742742000 is about 905.6199774901.

Adding to 742742000 its reverse (247247), we get a palindrome (742989247).

The spelling of 742742000 in words is "seven hundred forty-two million, seven hundred forty-two thousand".