77038000 has 80 divisors (see below), whose sum is σ = 200674656. Its totient is φ = 28435200.

The previous prime is 77037997. The next prime is 77038019. The reversal of 77038000 is 83077.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24519 + ... + 27481.

Almost surely, 2^77038000 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 77038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

77038000 is an abundant number, since it is smaller than the sum of its proper divisors (123636656).

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

77038000 is a wasteful number, since it uses less digits than its factorization.

77038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 77038000 is about 8777.1293712694. The cubic root of 77038000 is about 425.5020595011.

The spelling of 77038000 in words is "seventy-seven million, thirty-eight thousand".