76987200 has 168 divisors, whose sum is σ = 259149088. Its totient is φ = 19998720.

The previous prime is 76987193. The next prime is 76987219. The reversal of 76987200 is 278967.

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, 206214 + ... + 206586.

Almost surely, 2^76987200 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 76987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129574544).

76987200 is an abundant number, since it is smaller than the sum of its proper divisors (182161888).

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

76987200 is a wasteful number, since it uses less digits than its factorization.

76987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 76987200 is about 8774.2350093897. The cubic root of 76987200 is about 425.4085114791.

The spelling of 76987200 in words is "seventy-six million, nine hundred eighty-seven thousand, two hundred".