78737120 has 216 divisors, whose sum is σ = 240711912. Its totient is φ = 24245760.

The previous prime is 78737077. The next prime is 78737123. The reversal of 78737120 is 2173787.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78737123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948599 + ... + 948681.

It is an arithmetic number, because the mean of its divisors is an integer number (1114407).

Almost surely, 2^78737120 is an apocalyptic number.

78737120 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 78737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120355956).

78737120 is an abundant number, since it is smaller than the sum of its proper divisors (161974792).

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

78737120 is a wasteful number, since it uses less digits than its factorization.

78737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 78737120 is about 8873.3939391870. The cubic root of 78737120 is about 428.6075745175.

The spelling of 78737120 in words is "seventy-eight million, seven hundred thirty-seven thousand, one hundred twenty".