77836512 has 96 divisors (see below), whose sum is σ = 224888832. Its totient is φ = 23422464.

The previous prime is 77836481. The next prime is 77836541. The reversal of 77836512 is 21563877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×77836512² = 12117045200652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 57993 + ... + 59319.

It is an arithmetic number, because the mean of its divisors is an integer number (2342592).

Almost surely, 2^77836512 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 77836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112444416).

77836512 is an abundant number, since it is smaller than the sum of its proper divisors (147052320).

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

77836512 is a wasteful number, since it uses less digits than its factorization.

77836512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 77836512 is about 8822.5003258713. The cubic root of 77836512 is about 426.9671429432.

The spelling of 77836512 in words is "seventy-seven million, eight hundred thirty-six thousand, five hundred twelve".