76414380 has 96 divisors (see below), whose sum is σ = 252456960. Its totient is φ = 16899840.

The previous prime is 76414379. The next prime is 76414417. The reversal of 76414380 is 8341467.

76414380 = 1555² + 1556² + ... + 1585².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10086 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (2629760).

Almost surely, 2^76414380 is an apocalyptic number.

76414380 is a gapful number since it is divisible by the number (70) 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 76414380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126228480).

76414380 is an abundant number, since it is smaller than the sum of its proper divisors (176042580).

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

76414380 is a wasteful number, since it uses less digits than its factorization.

76414380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76414380 is about 8741.5319023613. The cubic root of 76414380 is about 424.3508058519.

It can be divided in two parts, 7641 and 4380, that added together give a palindrome (12021).

The spelling of 76414380 in words is "seventy-six million, four hundred fourteen thousand, three hundred eighty".