76969152 has 168 divisors, whose sum is σ = 250555760. Its totient is φ = 22394880.

The previous prime is 76969141. The next prime is 76969157. The reversal of 76969152 is 25196967.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76969098 and 76969107.

It is not an unprimeable number, because it can be changed into a prime (76969157) by changing a digit.

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, 142002 + ... + 142542.

Almost surely, 2^76969152 is an apocalyptic number.

76969152 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 76969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125277880).

76969152 is an abundant number, since it is smaller than the sum of its proper divisors (173586608).

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

76969152 is a wasteful number, since it uses less digits than its factorization.

76969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 76969152 is about 8773.2064833788. The cubic root of 76969152 is about 425.3752662433.

The spelling of 76969152 in words is "seventy-six million, nine hundred sixty-nine thousand, one hundred fifty-two".