77893000 has 32 divisors (see below), whose sum is σ = 182271960. Its totient is φ = 31156800.

The previous prime is 77892979. The next prime is 77893001. The reversal of 77893000 is 39877.

It can be written as a sum of positive squares in 4 ways, for example, as 36650916 + 41242084 = 6054^2 + 6422^2 .

It is not an unprimeable number, because it can be changed into a prime (77893001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37947 + ... + 39946.

Almost surely, 2^77893000 is an apocalyptic number.

It is an amenable number.

77893000 is an abundant number, since it is smaller than the sum of its proper divisors (104378960).

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

77893000 is a wasteful number, since it uses less digits than its factorization.

77893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77914 (or 77900 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 77893000 is about 8825.7011052947. The cubic root of 77893000 is about 427.0704050551.

The spelling of 77893000 in words is "seventy-seven million, eight hundred ninety-three thousand".