78952720 has 120 divisors (see below), whose sum is σ = 233074368. Its totient is φ = 24595200.

The previous prime is 78952717. The next prime is 78952729. The reversal of 78952720 is 2725987.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (78952729) 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 23 ways as a sum of consecutive naturals, for example, 42205 + ... + 44035.

Almost surely, 2^78952720 is an apocalyptic number.

78952720 is a gapful number since it is divisible by the number (70) 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 78952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116537184).

78952720 is an abundant number, since it is smaller than the sum of its proper divisors (154121648).

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

78952720 is a wasteful number, since it uses less digits than its factorization.

78952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 78952720 is about 8885.5343114525. The cubic root of 78952720 is about 428.9984260696.

The spelling of 78952720 in words is "seventy-eight million, nine hundred fifty-two thousand, seven hundred twenty".