78282960 has 160 divisors (see below), whose sum is σ = 293766912. Its totient is φ = 16834560.

The previous prime is 78282959. The next prime is 78283003. The reversal of 78282960 is 6928287.

It is a happy number.

It is a super-2 number, since 2×78282960² = 12256443652723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27190 + ... + 29930.

Almost surely, 2^78282960 is an apocalyptic number.

78282960 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 78282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146883456).

78282960 is an abundant number, since it is smaller than the sum of its proper divisors (215483952).

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

78282960 is a wasteful number, since it uses less digits than its factorization.

78282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78282960 is about 8847.7658196858. The cubic root of 78282960 is about 427.7819076955.

The spelling of 78282960 in words is "seventy-eight million, two hundred eighty-two thousand, nine hundred sixty".