77695440 has 160 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 19218432.

The previous prime is 77695439. The next prime is 77695447. The reversal of 77695440 is 4459677.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77695392 and 77695401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77695447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558891 + ... + 559029.

It is an arithmetic number, because the mean of its divisors is an integer number (1617084).

Almost surely, 2^77695440 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 77695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

77695440 is an abundant number, since it is smaller than the sum of its proper divisors (181038000).

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

77695440 is a wasteful number, since it uses less digits than its factorization.

77695440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 77695440 is about 8814.5016875601. The cubic root of 77695440 is about 426.7090398455.

The spelling of 77695440 in words is "seventy-seven million, six hundred ninety-five thousand, four hundred forty".