742084000 has 192 divisors, whose sum is σ = 2207761920. Its totient is φ = 239308800.

The previous prime is 742083973. The next prime is 742084009. The reversal of 742084000 is 480247.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (742084009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475221 + ... + 476779.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^742084000 is an apocalyptic number.

742084000 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 742084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

742084000 is an abundant number, since it is smaller than the sum of its proper divisors (1465677920).

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

742084000 is a wasteful number, since it uses less digits than its factorization.

742084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 742084000 is about 27241.2187686234. The cubic root of 742084000 is about 905.3524669226.

The spelling of 742084000 in words is "seven hundred forty-two million, eighty-four thousand".