78364000 has 192 divisors, whose sum is σ = 227852352. Its totient is φ = 26112000.

The previous prime is 78363973. The next prime is 78364009. The reversal of 78364000 is 46387.

It is a super-2 number, since 2×78364000² = 12281832992000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78364000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78364009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571932 + ... + 572068.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 2^78364000 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 78364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

78364000 is an abundant number, since it is smaller than the sum of its proper divisors (149488352).

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

78364000 is a wasteful number, since it uses less digits than its factorization.

78364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 78364000 is about 8852.3443222685. The cubic root of 78364000 is about 427.9294727589.

The spelling of 78364000 in words is "seventy-eight million, three hundred sixty-four thousand".