78770720 has 96 divisors (see below), whose sum is σ = 216857088. Its totient is φ = 26477568.

The previous prime is 78770719. The next prime is 78770729. The reversal of 78770720 is 2707787.

It is not an unprimeable number, because it can be changed into a prime (78770729) 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 15 ways as a sum of consecutive naturals, for example, 58697 + ... + 60023.

It is an arithmetic number, because the mean of its divisors is an integer number (2258928).

Almost surely, 2^78770720 is an apocalyptic number.

78770720 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 78770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108428544).

78770720 is an abundant number, since it is smaller than the sum of its proper divisors (138086368).

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

78770720 is a wasteful number, since it uses less digits than its factorization.

78770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 38.

The square root of 78770720 is about 8875.2870376118. The cubic root of 78770720 is about 428.6685333405.

The spelling of 78770720 in words is "seventy-eight million, seven hundred seventy thousand, seven hundred twenty".