78145392 has 80 divisors (see below), whose sum is σ = 221076128. Its totient is φ = 23639040.

The previous prime is 78145387. The next prime is 78145393. The reversal of 78145392 is 29354187.

It is a super-2 number, since 2×78145392² = 12213404581667328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 78145392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78145393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37038 + ... + 39090.

Almost surely, 2^78145392 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 78145392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110538064).

78145392 is an abundant number, since it is smaller than the sum of its proper divisors (142930736).

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

78145392 is a wasteful number, since it uses less digits than its factorization.

78145392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2132 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 78145392 is about 8839.9882352863. The cubic root of 78145392 is about 427.5311779183.

The spelling of 78145392 in words is "seventy-eight million, one hundred forty-five thousand, three hundred ninety-two".