78633720 has 128 divisors (see below), whose sum is σ = 285984000. Its totient is φ = 19059840.

The previous prime is 78633689. The next prime is 78633739. The reversal of 78633720 is 2733687.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 8571 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (2234250).

Almost surely, 2^78633720 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 78633720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142992000).

78633720 is an abundant number, since it is smaller than the sum of its proper divisors (207350280).

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

78633720 is a wasteful number, since it uses less digits than its factorization.

78633720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 78633720 is about 8867.5656185900. The cubic root of 78633720 is about 428.4198721254.

The spelling of 78633720 in words is "seventy-eight million, six hundred thirty-three thousand, seven hundred twenty".