77219440 has 40 divisors (see below), whose sum is σ = 190099440. Its totient is φ = 29070336.

The previous prime is 77219413. The next prime is 77219479. The reversal of 77219440 is 4491277.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 77219396 and 77219405.

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 7 ways as a sum of consecutive naturals, for example, 27030 + ... + 29749.

It is an arithmetic number, because the mean of its divisors is an integer number (4752486).

Almost surely, 2^77219440 is an apocalyptic number.

It is an amenable number.

77219440 is an abundant number, since it is smaller than the sum of its proper divisors (112880000).

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

77219440 is a wasteful number, since it uses less digits than its factorization.

77219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56809 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 77219440 is about 8787.4592459937. The cubic root of 77219440 is about 425.8358452659.

It can be divided in two parts, 7721 and 9440, that added together give a square (17161 = 131²).

The spelling of 77219440 in words is "seventy-seven million, two hundred nineteen thousand, four hundred forty".