73826820 has 36 divisors (see below), whose sum is σ = 223941900. Its totient is φ = 19687104.

The previous prime is 73826813. The next prime is 73826867. The reversal of 73826820 is 2862837.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 46703556 = 5208^2 + 6834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204895 + ... + 205254.

Almost surely, 2^73826820 is an apocalyptic number.

It is an amenable number.

73826820 is an abundant number, since it is smaller than the sum of its proper divisors (150115080).

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

73826820 is a wasteful number, since it uses less digits than its factorization.

73826820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410164 (or 410159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73826820 is about 8592.2534878808. The cubic root of 73826820 is about 419.5058814961.

The spelling of 73826820 in words is "seventy-three million, eight hundred twenty-six thousand, eight hundred twenty".