76761432 has 160 divisors (see below), whose sum is σ = 239144400. Its totient is φ = 22999680.

The previous prime is 76761413. The next prime is 76761439. The reversal of 76761432 is 23416767.

76761432 is a `hidden beast` number, since 7 + 6 + 7 + 614 + 32 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76761439) 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 39 ways as a sum of consecutive naturals, for example, 862444 + ... + 862532.

Almost surely, 2^76761432 is an apocalyptic number.

76761432 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 76761432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119572200).

76761432 is an abundant number, since it is smaller than the sum of its proper divisors (162382968).

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

76761432 is a wasteful number, since it uses less digits than its factorization.

76761432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76761432 is about 8761.3601683757. The cubic root of 76761432 is about 424.9922619122.

The spelling of 76761432 in words is "seventy-six million, seven hundred sixty-one thousand, four hundred thirty-two".