76681152 has 168 divisors, whose sum is σ = 239645952. Its totient is φ = 23347200.

The previous prime is 76681147. The next prime is 76681153. The reversal of 76681152 is 25118667.

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 (76681153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401377 + ... + 401567.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^76681152 is an apocalyptic number.

76681152 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 76681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

76681152 is an abundant number, since it is smaller than the sum of its proper divisors (162964800).

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

76681152 is a wasteful number, since it uses less digits than its factorization.

76681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 76681152 is about 8756.7774894649. Note that the first 3 decimals coincide. The cubic root of 76681152 is about 424.8440525883.

It can be divided in two parts, 766 and 81152, that added together give a palindrome (81918).

The spelling of 76681152 in words is "seventy-six million, six hundred eighty-one thousand, one hundred fifty-two".