78078000 has 480 divisors, whose sum is σ = 339835392. Its totient is φ = 14976000.

The previous prime is 78077999. The next prime is 78078041. The reversal of 78078000 is 87087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6005994 + ... + 6006006.

Almost surely, 2^78078000 is an apocalyptic number.

78078000 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 78078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

78078000 is an abundant number, since it is smaller than the sum of its proper divisors (261757392).

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

78078000 is a wasteful number, since it uses less digits than its factorization.

78078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 78078000 is about 8836.1756433425. The cubic root of 78078000 is about 427.4082426782.

It can be divided in two parts, 780 and 78000, that multiplied together give a square (60840000 = 7800²).

The spelling of 78078000 in words is "seventy-eight million, seventy-eight thousand".