76688430 has 96 divisors (see below), whose sum is σ = 230628384. Its totient is φ = 16176384.

The previous prime is 76688429. The next prime is 76688453. The reversal of 76688430 is 3488667.

It is a super-2 number, since 2×76688430² = 11762230591729800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 17104 + ... + 21116.

It is an arithmetic number, because the mean of its divisors is an integer number (2402379).

Almost surely, 2^76688430 is an apocalyptic number.

76688430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76688430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115314192).

76688430 is an abundant number, since it is smaller than the sum of its proper divisors (153939954).

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

76688430 is a wasteful number, since it uses less digits than its factorization.

76688430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 76688430 is about 8757.1930434358. The cubic root of 76688430 is about 424.8574931671.

The spelling of 76688430 in words is "seventy-six million, six hundred eighty-eight thousand, four hundred thirty".