77641542 has 48 divisors (see below), whose sum is σ = 184244112. Its totient is φ = 23434560.

The previous prime is 77641523. The next prime is 77641547. The reversal of 77641542 is 24514677.

77641542 is a `hidden beast` number, since 7 + 7 + 641 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77641497 and 77641506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77641547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62148 + ... + 63384.

It is an arithmetic number, because the mean of its divisors is an integer number (3838419).

Almost surely, 2^77641542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77641542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92122056).

77641542 is an abundant number, since it is smaller than the sum of its proper divisors (106602570).

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

77641542 is a wasteful number, since it uses less digits than its factorization.

77641542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 77641542 is about 8811.4438090474. The cubic root of 77641542 is about 426.6103464343.

The spelling of 77641542 in words is "seventy-seven million, six hundred forty-one thousand, five hundred forty-two".