77089536 has 144 divisors (see below), whose sum is σ = 240374400. Its totient is φ = 24302592.

The previous prime is 77089513. The next prime is 77089549. The reversal of 77089536 is 63598077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 77089491 and 77089500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131035 + ... + 131621.

Almost surely, 2^77089536 is an apocalyptic number.

77089536 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120187200).

77089536 is an abundant number, since it is smaller than the sum of its proper divisors (163284864).

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

77089536 is a wasteful number, since it uses less digits than its factorization.

77089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 77089536 is about 8780.0646922446. The cubic root of 77089536 is about 425.5969208513.

The spelling of 77089536 in words is "seventy-seven million, eighty-nine thousand, five hundred thirty-six".