73820700 has 144 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 18636480.

The previous prime is 73820699. The next prime is 73820701. The reversal of 73820700 is 702837.

It is an interprime number because it is at equal distance from previous prime (73820699) and next prime (73820701).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73820701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50581 + ... + 52019.

It is an arithmetic number, because the mean of its divisors is an integer number (1736000).

Almost surely, 2^73820700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

73820700 is an abundant number, since it is smaller than the sum of its proper divisors (176163300).

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

73820700 is a wasteful number, since it uses less digits than its factorization.

73820700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73820700 is about 8591.8973457555. The cubic root of 73820700 is about 419.4942892909.

The spelling of 73820700 in words is "seventy-three million, eight hundred twenty thousand, seven hundred".