73886820 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 15579648.

The previous prime is 73886819. The next prime is 73886837. The reversal of 73886820 is 2868837.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374962 + ... + 375158.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^73886820 is an apocalyptic number.

73886820 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 73886820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

73886820 is an abundant number, since it is smaller than the sum of its proper divisors (181580700).

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

73886820 is a wasteful number, since it uses less digits than its factorization.

73886820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 73886820 is about 8595.7442958711. The cubic root of 73886820 is about 419.6194966530.

The spelling of 73886820 in words is "seventy-three million, eight hundred eighty-six thousand, eight hundred twenty".