78293600 has 288 divisors, whose sum is σ = 251983872. Its totient is φ = 23040000.

The previous prime is 78293581. The next prime is 78293629. The reversal of 78293600 is 639287.

It is a super-2 number, since 2×78293600² = 12259775601920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909580 + ... + 1909620.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^78293600 is an apocalyptic number.

78293600 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 78293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

78293600 is an abundant number, since it is smaller than the sum of its proper divisors (173690272).

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

78293600 is a wasteful number, since it uses less digits than its factorization.

78293600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 78293600 is about 8848.3670809930. The cubic root of 78293600 is about 427.8012877892.

The spelling of 78293600 in words is "seventy-eight million, two hundred ninety-three thousand, six hundred".