77785642 has 32 divisors (see below), whose sum is σ = 135489024. Its totient is φ = 33100800.

The previous prime is 77785637. The next prime is 77785709. The reversal of 77785642 is 24658777.

It is a super-2 number, since 2×77785642² = 12101212202704328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77785592 and 77785601.

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, 89703 + ... + 90565.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032).

Almost surely, 2^77785642 is an apocalyptic number.

77785642 is a deficient number, since it is larger than the sum of its proper divisors (57703382).

77785642 is a wasteful number, since it uses less digits than its factorization.

77785642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134.

The product of its digits is 658560, while the sum is 46.

The square root of 77785642 is about 8819.6168851033. The cubic root of 77785642 is about 426.8741079764.

The spelling of 77785642 in words is "seventy-seven million, seven hundred eighty-five thousand, six hundred forty-two".