77438976 has 112 divisors (see below), whose sum is σ = 217041984. Its totient is φ = 24510464.

The previous prime is 77438971. The next prime is 77438981. The reversal of 77438976 is 67983477.

It is an interprime number because it is at equal distance from previous prime (77438971) and next prime (77438981).

Its product of digits (1778112) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (77438971) 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, 565180 + ... + 565316.

Almost surely, 2^77438976 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 77438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108520992).

77438976 is an abundant number, since it is smaller than the sum of its proper divisors (139603008).

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

77438976 is a wasteful number, since it uses less digits than its factorization.

77438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 77438976 is about 8799.9418179895. The cubic root of 77438976 is about 426.2390159506.

The spelling of 77438976 in words is "seventy-seven million, four hundred thirty-eight thousand, nine hundred seventy-six".