78274800 has 180 divisors, whose sum is σ = 287838720. Its totient is φ = 19630080.

The previous prime is 78274789. The next prime is 78274811. The reversal of 78274800 is 847287.

It is an interprime number because it is at equal distance from previous prime (78274789) and next prime (78274811).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×78274800² = 12253888630080000, 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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60561 + ... + 61839.

It is an arithmetic number, because the mean of its divisors is an integer number (1599104).

Almost surely, 2^78274800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

78274800 is an abundant number, since it is smaller than the sum of its proper divisors (209563920).

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

78274800 is a wasteful number, since it uses less digits than its factorization.

78274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78274800 is about 8847.3046743062. The cubic root of 78274800 is about 427.7670435767.

The spelling of 78274800 in words is "seventy-eight million, two hundred seventy-four thousand, eight hundred".