78378300 has 576 divisors, whose sum is σ = 349977600. Its totient is φ = 14515200.

The previous prime is 78378299. The next prime is 78378301. The reversal of 78378300 is 387387.

It is an interprime number because it is at equal distance from previous prime (78378299) and next prime (78378301).

It is a super-2 number, since 2×78378300² = 12286315821780000, 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 not an unprimeable number, because it can be changed into a prime (78378301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2702686 + ... + 2702714.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 2^78378300 is an apocalyptic number.

78378300 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 78378300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

78378300 is an abundant number, since it is smaller than the sum of its proper divisors (271599300).

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

78378300 is a wasteful number, since it uses less digits than its factorization.

78378300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78378300 is about 8853.1519810743. The cubic root of 78378300 is about 427.9555009491.

It can be divided in two parts, 783 and 78300, that multiplied together give a square (61308900 = 7830²).

The spelling of 78378300 in words is "seventy-eight million, three hundred seventy-eight thousand, three hundred".