742867600 has 30 divisors (see below), whose sum is σ = 1784740370. Its totient is φ = 297146880.

The previous prime is 742867589. The next prime is 742867607. The reversal of 742867600 is 6768247.

It can be written as a sum of positive squares in 3 ways, for example, as 222845184 + 520022416 = 14928^2 + 22804^2 .

It is a super-2 number, since 2×742867600² = 1103704542259520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (742867607) 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 5 ways as a sum of consecutive naturals, for example, 928185 + ... + 928984.

Almost surely, 2^742867600 is an apocalyptic number.

It is an amenable number.

742867600 is an abundant number, since it is smaller than the sum of its proper divisors (1041872770).

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

742867600 is a wasteful number, since it uses less digits than its factorization.

742867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857187 (or 1857176 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 742867600 is about 27255.5975902199. The cubic root of 742867600 is about 905.6710223384.

The spelling of 742867600 in words is "seven hundred forty-two million, eight hundred sixty-seven thousand, six hundred".