73820280 has 64 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 19630208.

The previous prime is 73820261. The next prime is 73820281. The reversal of 73820280 is 8202837.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73820281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59749 + ... + 60971.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^73820280 is an apocalyptic number.

It is an amenable number.

73820280 is an abundant number, since it is smaller than the sum of its proper divisors (148262280).

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

73820280 is a wasteful number, since it uses less digits than its factorization.

73820280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 73820280 is about 8591.8729040879. The cubic root of 73820280 is about 419.4934937239.

The spelling of 73820280 in words is "seventy-three million, eight hundred twenty thousand, two hundred eighty".