78303960 has 288 divisors, whose sum is σ = 310508640. Its totient is φ = 17031168.

The previous prime is 78303941. The next prime is 78303971. The reversal of 78303960 is 6930387.

It is a super-2 number, since 2×78303960² = 12263020303363200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 405624 + ... + 405816.

It is an arithmetic number, because the mean of its divisors is an integer number (1078155).

Almost surely, 2^78303960 is an apocalyptic number.

78303960 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 78303960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155254320).

78303960 is an abundant number, since it is smaller than the sum of its proper divisors (232204680).

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

78303960 is a wasteful number, since it uses less digits than its factorization.

78303960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 78303960 is about 8848.9524803787. The cubic root of 78303960 is about 427.8201561934.

The spelling of 78303960 in words is "seventy-eight million, three hundred three thousand, nine hundred sixty".