77363424 has 72 divisors (see below), whose sum is σ = 228173400. Its totient is φ = 25785216.

The previous prime is 77363399. The next prime is 77363431. The reversal of 77363424 is 42436377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2802 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (3169075).

Almost surely, 2^77363424 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 77363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114086700).

77363424 is an abundant number, since it is smaller than the sum of its proper divisors (150809976).

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

77363424 is an equidigital number, since it uses as much as digits as its factorization.

77363424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9954 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 77363424 is about 8795.6480147855. The cubic root of 77363424 is about 426.1003532672.

The spelling of 77363424 in words is "seventy-seven million, three hundred sixty-three thousand, four hundred twenty-four".