78246000 has 480 divisors, whose sum is σ = 337978368. Its totient is φ = 17107200.

The previous prime is 78245969. The next prime is 78246001. The reversal of 78246000 is 64287.

It is a super-2 number, since 2×78246000² = 12244873032000000, 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 (78246001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401989 + ... + 3402011.

Almost surely, 2^78246000 is an apocalyptic number.

78246000 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 78246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

78246000 is an abundant number, since it is smaller than the sum of its proper divisors (259732368).

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

78246000 is a wasteful number, since it uses less digits than its factorization.

78246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78246000 is about 8845.6769102200. The cubic root of 78246000 is about 427.7145737221.

It can be divided in two parts, 7824 and 6000, that added together give a cube (13824 = 24³).

The spelling of 78246000 in words is "seventy-eight million, two hundred forty-six thousand".