76898430 has 256 divisors, whose sum is σ = 257126400. Its totient is φ = 15966720.

The previous prime is 76898413. The next prime is 76898431. The reversal of 76898430 is 3489867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76898431) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1260600 + ... + 1260660.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^76898430 is an apocalyptic number.

76898430 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 76898430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

76898430 is an abundant number, since it is smaller than the sum of its proper divisors (180227970).

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

76898430 is a wasteful number, since it uses less digits than its factorization.

76898430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 76898430 is about 8769.1749897011. The cubic root of 76898430 is about 425.2449430017.

The spelling of 76898430 in words is "seventy-six million, eight hundred ninety-eight thousand, four hundred thirty".