76781408 has 48 divisors (see below), whose sum is σ = 165654720. Its totient is φ = 34742400.

The previous prime is 76781407. The next prime is 76781437. The reversal of 76781408 is 80418767.

It is a super-2 number, since 2×76781408² = 11790769228924928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76781407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116183 + ... + 116841.

It is an arithmetic number, because the mean of its divisors is an integer number (3451140).

Almost surely, 2^76781408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82827360).

76781408 is an abundant number, since it is smaller than the sum of its proper divisors (88873312).

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

76781408 is a wasteful number, since it uses less digits than its factorization.

76781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 76781408 is about 8762.5000998573. The cubic root of 76781408 is about 425.0291246477.

The spelling of 76781408 in words is "seventy-six million, seven hundred eighty-one thousand, four hundred eight".