77800632 has 128 divisors (see below), whose sum is σ = 244608000. Its totient is φ = 20490624.

The previous prime is 77800621. The next prime is 77800637. The reversal of 77800632 is 23600877.

It is a junction number, because it is equal to n+sod(n) for n = 77800593 and 77800602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77800637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106653 + ... + 107379.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^77800632 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 77800632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304000).

77800632 is an abundant number, since it is smaller than the sum of its proper divisors (166807368).

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

77800632 is a wasteful number, since it uses less digits than its factorization.

77800632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 77800632 is about 8820.4666543216. The cubic root of 77800632 is about 426.9015270549.

The spelling of 77800632 in words is "seventy-seven million, eight hundred thousand, six hundred thirty-two".