73828764 has 72 divisors (see below), whose sum is σ = 196276080. Its totient is φ = 23369472.

The previous prime is 73828759. The next prime is 73828819. The reversal of 73828764 is 46782837.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56632 + ... + 57920.

Almost surely, 2^73828764 is an apocalyptic number.

73828764 is a gapful number since it is divisible by the number (74) 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 73828764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98138040).

73828764 is an abundant number, since it is smaller than the sum of its proper divisors (122447316).

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

73828764 is a wasteful number, since it uses less digits than its factorization.

73828764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1374 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73828764 is about 8592.3666122902. The cubic root of 73828764 is about 419.5095635919.

The spelling of 73828764 in words is "seventy-three million, eight hundred twenty-eight thousand, seven hundred sixty-four".