65791980 has 96 divisors (see below), whose sum is σ = 207614400. Its totient is φ = 17293824.

The previous prime is 65791967. The next prime is 65791991. The reversal of 65791980 is 8919756.

It is a super-3 number, since 3×65791980³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38586 + ... + 40254.

It is an arithmetic number, because the mean of its divisors is an integer number (2162650).

Almost surely, 2^65791980 is an apocalyptic number.

65791980 is a gapful number since it is divisible by the number (60) 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 65791980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103807200).

65791980 is an abundant number, since it is smaller than the sum of its proper divisors (141822420).

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

65791980 is a wasteful number, since it uses less digits than its factorization.

65791980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 65791980 is about 8111.2255547482. The cubic root of 65791980 is about 403.6989800925.

The spelling of 65791980 in words is "sixty-five million, seven hundred ninety-one thousand, nine hundred eighty".