77064642 has 32 divisors (see below), whose sum is σ = 171633600. Its totient is φ = 25631424.

The previous prime is 77064623. The next prime is 77064653. The reversal of 77064642 is 24646077.

77064642 is a `hidden beast` number, since 7 + 7 + 0 + 6 + 4 + 642 = 666.

It is a super-3 number, since 3×77064642³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77064597 and 77064606.

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, 28234 + ... + 30842.

It is an arithmetic number, because the mean of its divisors is an integer number (5363550).

Almost surely, 2^77064642 is an apocalyptic number.

77064642 is an abundant number, since it is smaller than the sum of its proper divisors (94568958).

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

77064642 is a wasteful number, since it uses less digits than its factorization.

77064642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3161 counting only the distinct ones).

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

The square root of 77064642 is about 8778.6469344655. The cubic root of 77064642 is about 425.5511042121.

The spelling of 77064642 in words is "seventy-seven million, sixty-four thousand, six hundred forty-two".