78399000 has 192 divisors, whose sum is σ = 274510080. Its totient is φ = 20160000.

The previous prime is 78398963. The next prime is 78399037. The reversal of 78399000 is 99387.

It is an interprime number because it is at equal distance from previous prime (78398963) and next prime (78399037).

It is a super-2 number, since 2×78399000² = 12292806402000000, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278860 + ... + 279140.

It is an arithmetic number, because the mean of its divisors is an integer number (1429740).

Almost surely, 2^78399000 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 78399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137255040).

78399000 is an abundant number, since it is smaller than the sum of its proper divisors (196111080).

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

78399000 is a wasteful number, since it uses less digits than its factorization.

78399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 78399000 is about 8854.3209790475. The cubic root of 78399000 is about 427.9931725117.

The spelling of 78399000 in words is "seventy-eight million, three hundred ninety-nine thousand".