742980 has 96 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 161280.

The previous prime is 742967. The next prime is 742981. The reversal of 742980 is 89247.

742980 = T₁₂₁ + T₁₂₂ + ... + T₁₈₃.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (742981) by changing a digit.

742980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12150 + ... + 12210.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁷⁴²⁹⁸⁰ is an apocalyptic number.

742980 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 742980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

742980 is an abundant number, since it is smaller than the sum of its proper divisors (1756860).

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

742980 is a wasteful number, since it uses less digits than its factorization.

742980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 742980 is about 861.9628762308. The cubic root of 742980 is about 90.5716697723.

The spelling of 742980 in words is "seven hundred forty-two thousand, nine hundred eighty".