78387120 has 240 divisors, whose sum is σ = 305789952. Its totient is φ = 17625600.

The previous prime is 78387107. The next prime is 78387149. The reversal of 78387120 is 2178387.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78387120² = 12289081163788800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519045 + ... + 519195.

Almost surely, 2^78387120 is an apocalyptic number.

78387120 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 78387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152894976).

78387120 is an abundant number, since it is smaller than the sum of its proper divisors (227402832).

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

78387120 is a wasteful number, since it uses less digits than its factorization.

78387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 78387120 is about 8853.6500947349. The cubic root of 78387120 is about 427.9715531214.

The spelling of 78387120 in words is "seventy-eight million, three hundred eighty-seven thousand, one hundred twenty".