78777036 has 120 divisors (see below), whose sum is σ = 226250640. Its totient is φ = 23753088.

The previous prime is 78777019. The next prime is 78777037. The reversal of 78777036 is 63077787.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78776982 and 78777000.

It is not an unprimeable number, because it can be changed into a prime (78777037) 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 39 ways as a sum of consecutive naturals, for example, 248350 + ... + 248666.

It is an arithmetic number, because the mean of its divisors is an integer number (1885422).

Almost surely, 2^78777036 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 78777036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113125320).

78777036 is an abundant number, since it is smaller than the sum of its proper divisors (147473604).

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

78777036 is a wasteful number, since it uses less digits than its factorization.

78777036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 78777036 is about 8875.6428499574. The cubic root of 78777036 is about 428.6799902122.

The spelling of 78777036 in words is "seventy-eight million, seven hundred seventy-seven thousand, thirty-six".