76781406 has 64 divisors (see below), whose sum is σ = 174440448. Its totient is φ = 22353408.

The previous prime is 76781399. The next prime is 76781407. The reversal of 76781406 is 60418767.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 227670 + ... + 228006.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 2^76781406 is an apocalyptic number.

It is a pronic number, being equal to 8762×8763.

It is a practical number, because each smaller number is the sum of distinct divisors of 76781406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87220224).

76781406 is an abundant number, since it is smaller than the sum of its proper divisors (97659042).

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

76781406 is a wasteful number, since it uses less digits than its factorization.

76781406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 76781406 is about 8762.4999857347. The cubic root of 76781406 is about 425.0291209573.

The spelling of 76781406 in words is "seventy-six million, seven hundred eighty-one thousand, four hundred six".