78114960 has 240 divisors, whose sum is σ = 327300480. Its totient is φ = 16220160.

The previous prime is 78114941. The next prime is 78115001. The reversal of 78114960 is 6941187.

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

It is a super-2 number, since 2×78114960² = 12203893951603200, 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, 54736 + ... + 56144.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752).

Almost surely, 2^78114960 is an apocalyptic number.

78114960 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 78114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163650240).

78114960 is an abundant number, since it is smaller than the sum of its proper divisors (249185520).

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

78114960 is a wasteful number, since it uses less digits than its factorization.

78114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 78114960 is about 8838.2667984170. The cubic root of 78114960 is about 427.4756731822.

The spelling of 78114960 in words is "seventy-eight million, one hundred fourteen thousand, nine hundred sixty".