77631036 has 96 divisors (see below), whose sum is σ = 220200960. Its totient is φ = 20793024.

The previous prime is 77631031. The next prime is 77631041. The reversal of 77631036 is 63013677.

It is an interprime number because it is at equal distance from previous prime (77631031) and next prime (77631041).

It is a junction number, because it is equal to n+sod(n) for n = 77630988 and 77631006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77631031) 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, 202501 + ... + 202883.

It is an arithmetic number, because the mean of its divisors is an integer number (2293760).

Almost surely, 2^77631036 is an apocalyptic number.

77631036 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77631036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100480).

77631036 is an abundant number, since it is smaller than the sum of its proper divisors (142569924).

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

77631036 is a wasteful number, since it uses less digits than its factorization.

77631036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 77631036 is about 8810.8476323223. The cubic root of 77631036 is about 426.5911034262.

The spelling of 77631036 in words is "seventy-seven million, six hundred thirty-one thousand, thirty-six".