78146208 has 240 divisors, whose sum is σ = 270768960. Its totient is φ = 21648384.

The previous prime is 78146177. The next prime is 78146219. The reversal of 78146208 is 80264187.

It is a super-2 number, since 2×78146208² = 12213659649558528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070460 + ... + 1070532.

It is an arithmetic number, because the mean of its divisors is an integer number (1128204).

Almost surely, 2^78146208 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 78146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135384480).

78146208 is an abundant number, since it is smaller than the sum of its proper divisors (192622752).

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

78146208 is a wasteful number, since it uses less digits than its factorization.

78146208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78146208 is about 8840.0343890734. The cubic root of 78146208 is about 427.5326660173.

The spelling of 78146208 in words is "seventy-eight million, one hundred forty-six thousand, two hundred eight".