78136380 has 144 divisors (see below), whose sum is σ = 282875040. Its totient is φ = 17853696.

The previous prime is 78136367. The next prime is 78136427. The reversal of 78136380 is 8363187.

78136380 is a `hidden beast` number, since 7 + 8 + 13 + 638 + 0 = 666.

It is a super-2 number, since 2×78136380² = 12210587759008800, 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 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, 24984 + ... + 27936.

It is an arithmetic number, because the mean of its divisors is an integer number (1964410).

Almost surely, 2^78136380 is an apocalyptic number.

78136380 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 78136380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141437520).

78136380 is an abundant number, since it is smaller than the sum of its proper divisors (204738660).

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

78136380 is a wasteful number, since it uses less digits than its factorization.

78136380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78136380 is about 8839.4784914043. The cubic root of 78136380 is about 427.5147424894.

The spelling of 78136380 in words is "seventy-eight million, one hundred thirty-six thousand, three hundred eighty".