76873500 has 144 divisors (see below), whose sum is σ = 264727008. Its totient is φ = 18624000.

The previous prime is 76873499. The next prime is 76873513. The reversal of 76873500 is 537867.

76873500 is a `hidden beast` number, since 76 + 87 + 3 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48724 + ... + 50276.

It is an arithmetic number, because the mean of its divisors is an integer number (1838382).

Almost surely, 2^76873500 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 76873500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132363504).

76873500 is an abundant number, since it is smaller than the sum of its proper divisors (187853508).

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

76873500 is a wasteful number, since it uses less digits than its factorization.

76873500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 76873500 is about 8767.7534180655. The cubic root of 76873500 is about 425.1989840995.

The spelling of 76873500 in words is "seventy-six million, eight hundred seventy-three thousand, five hundred".