76800152 has 96 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 30243840.

The previous prime is 76800131. The next prime is 76800173. The reversal of 76800152 is 25100867.

It is an interprime number because it is at equal distance from previous prime (76800131) and next prime (76800173).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213749 + ... + 214107.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^76800152 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 76800152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

76800152 is an abundant number, since it is smaller than the sum of its proper divisors (104186248).

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

76800152 is a wasteful number, since it uses less digits than its factorization.

76800152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 76800152 is about 8763.5695923522. The cubic root of 76800152 is about 425.0637080966.

The spelling of 76800152 in words is "seventy-six million, eight hundred thousand, one hundred fifty-two".