78213600 has 360 divisors, whose sum is σ = 306261648. Its totient is φ = 19353600.

The previous prime is 78213563. The next prime is 78213607. The reversal of 78213600 is 631287.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×78213600² = 12234734449920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78213607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101565 + ... + 1101635.

Almost surely, 2^78213600 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 78213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153130824).

78213600 is an abundant number, since it is smaller than the sum of its proper divisors (228048048).

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

78213600 is a wasteful number, since it uses less digits than its factorization.

78213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78213600 is about 8843.8453175075. The cubic root of 78213600 is about 427.6555297438.

Adding to 78213600 its reverse (631287), we get a palindrome (78844887).

The spelling of 78213600 in words is "seventy-eight million, two hundred thirteen thousand, six hundred".