77383440 has 120 divisors (see below), whose sum is σ = 268339968. Its totient is φ = 19964160.

The previous prime is 77383387. The next prime is 77383457. The reversal of 77383440 is 4438377.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 77383395 and 77383404.

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 23 ways as a sum of consecutive naturals, for example, 20587 + ... + 24053.

Almost surely, 2^77383440 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 77383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134169984).

77383440 is an abundant number, since it is smaller than the sum of its proper divisors (190956528).

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

77383440 is a wasteful number, since it uses less digits than its factorization.

77383440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77383440 is about 8796.7857766346. The cubic root of 77383440 is about 426.1370979750.

The spelling of 77383440 in words is "seventy-seven million, three hundred eighty-three thousand, four hundred forty".