77242464 has 216 divisors, whose sum is σ = 255021480. Its totient is φ = 22733568.

The previous prime is 77242433. The next prime is 77242469. The reversal of 77242464 is 46424277.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77242469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3358357 + ... + 3358379.

It is an arithmetic number, because the mean of its divisors is an integer number (1180655).

Almost surely, 2^77242464 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 77242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510740).

77242464 is an abundant number, since it is smaller than the sum of its proper divisors (177779016).

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

77242464 is a wasteful number, since it uses less digits than its factorization.

77242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 77242464 is about 8788.7691971060. The cubic root of 77242464 is about 425.8781639283.

Multiplying 77242464 by its product of digits (75264), we get a square (5813576810496 = 2411136²).

The spelling of 77242464 in words is "seventy-seven million, two hundred forty-two thousand, four hundred sixty-four".