77561652 has 48 divisors (see below), whose sum is σ = 208252800. Its totient is φ = 22008192.

The previous prime is 77561639. The next prime is 77561663. The reversal of 77561652 is 25616577.

It is a self number, because there is not a number n which added to its sum of digits gives 77561652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9418 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (4338600).

Almost surely, 2^77561652 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 77561652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104126400).

77561652 is an abundant number, since it is smaller than the sum of its proper divisors (130691148).

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

77561652 is a wasteful number, since it uses less digits than its factorization.

77561652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6358 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 77561652 is about 8806.9093330180. The cubic root of 77561652 is about 426.4639746338.

The spelling of 77561652 in words is "seventy-seven million, five hundred sixty-one thousand, six hundred fifty-two".