77436564 has 48 divisors (see below), whose sum is σ = 192544128. Its totient is φ = 24137728.

The previous prime is 77436553. The next prime is 77436587. The reversal of 77436564 is 46563477.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32932 + ... + 35204.

It is an arithmetic number, because the mean of its divisors is an integer number (4011336).

Almost surely, 2^77436564 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 77436564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96272064).

77436564 is an abundant number, since it is smaller than the sum of its proper divisors (115107564).

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

77436564 is a wasteful number, since it uses less digits than its factorization.

77436564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2462 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 77436564 is about 8799.8047705617. The cubic root of 77436564 is about 426.2345905341.

The spelling of 77436564 in words is "seventy-seven million, four hundred thirty-six thousand, five hundred sixty-four".