77942440 has 64 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 30336768.

The previous prime is 77942437. The next prime is 77942539. The reversal of 77942440 is 4424977.

It is a self number, because there is not a number n which added to its sum of digits gives 77942440.

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, 340246 + ... + 340474.

It is an arithmetic number, because the mean of its divisors is an integer number (2815200).

Almost surely, 2^77942440 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 77942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

77942440 is an abundant number, since it is smaller than the sum of its proper divisors (102230360).

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

77942440 is a wasteful number, since it uses less digits than its factorization.

77942440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 77942440 is about 8828.5015716145. The cubic root of 77942440 is about 427.1607422065.

The spelling of 77942440 in words is "seventy-seven million, nine hundred forty-two thousand, four hundred forty".