76877430 has 64 divisors (see below), whose sum is σ = 215377920. Its totient is φ = 17195904.

The previous prime is 76877429. The next prime is 76877443. The reversal of 76877430 is 3477867.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (3365280).

Almost surely, 2^76877430 is an apocalyptic number.

76877430 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 76877430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107688960).

76877430 is an abundant number, since it is smaller than the sum of its proper divisors (138500490).

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

76877430 is a wasteful number, since it uses less digits than its factorization.

76877430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853.

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 76877430 is about 8767.9775319055. The cubic root of 76877430 is about 425.2062297846.

The spelling of 76877430 in words is "seventy-six million, eight hundred seventy-seven thousand, four hundred thirty".