78164352 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 22270464.

The previous prime is 78164311. The next prime is 78164369. The reversal of 78164352 is 25346187.

78164352 = T₄₈ + T₄₉ + ... + T₇₇₆.

78164352 is a `hidden beast` number, since 7 + 8 + 1 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78164352² = 12219331847159808, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 217549 + ... + 217907.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^78164352 is an apocalyptic number.

78164352 is a gapful number since it is divisible by the number (72) 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 78164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

78164352 is an abundant number, since it is smaller than the sum of its proper divisors (189157248).

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

78164352 is an equidigital number, since it uses as much as digits as its factorization.

78164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 78164352 is about 8841.0605698638. The cubic root of 78164352 is about 427.5657516594.

The spelling of 78164352 in words is "seventy-eight million, one hundred sixty-four thousand, three hundred fifty-two".