76771152 has 100 divisors (see below), whose sum is σ = 228345876. Its totient is φ = 24883200.

The previous prime is 76771151. The next prime is 76771181. The reversal of 76771152 is 25117767.

It can be written as a sum of positive squares in 2 ways, for example, as 74028816 + 2742336 = 8604^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76771151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47152 + ... + 48752.

Almost surely, 2^76771152 is an apocalyptic number.

76771152 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 76771152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114172938).

76771152 is an abundant number, since it is smaller than the sum of its proper divisors (151574724).

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

76771152 is a wasteful number, since it uses less digits than its factorization.

76771152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1643 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 76771152 is about 8761.9148592074. The cubic root of 76771152 is about 425.0101995245.

The spelling of 76771152 in words is "seventy-six million, seven hundred seventy-one thousand, one hundred fifty-two".