77246440 has 64 divisors (see below), whose sum is σ = 179625600. Its totient is φ = 29882112.

The previous prime is 77246413. The next prime is 77246471. The reversal of 77246440 is 4464277.

It is a junction number, because it is equal to n+sod(n) for n = 77246396 and 77246405.

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, 175741 + ... + 176179.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^77246440 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 77246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

77246440 is an abundant number, since it is smaller than the sum of its proper divisors (102379160).

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

77246440 is a wasteful number, since it uses less digits than its factorization.

77246440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 77246440 is about 8788.9953919660. The cubic root of 77246440 is about 425.8854710598.

It can be divided in two parts, 77 and 246440, that multiplied together give a triangular number (18975880 = T₆₁₆₀).

The spelling of 77246440 in words is "seventy-seven million, two hundred forty-six thousand, four hundred forty".