78385752 has 32 divisors (see below), whose sum is σ = 217738800. Its totient is φ = 26128512.

The previous prime is 78385751. The next prime is 78385777. The reversal of 78385752 is 25758387.

78385752 is a `hidden beast` number, since 78 + 3 + 8 + 575 + 2 = 666.

It is a super-2 number, since 2×78385752² = 12288652233211008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78385698 and 78385707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78385751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181233 + ... + 181664.

Almost surely, 2^78385752 is an apocalyptic number.

78385752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78385752 is an abundant number, since it is smaller than the sum of its proper divisors (139353048).

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

78385752 is a wasteful number, since it uses less digits than its factorization.

78385752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362912 (or 362902 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 78385752 is about 8853.5728381259. The cubic root of 78385752 is about 427.9690634756.

The spelling of 78385752 in words is "seventy-eight million, three hundred eighty-five thousand, seven hundred fifty-two".