76819400 has 96 divisors (see below), whose sum is σ = 209778240. Its totient is φ = 25608960.

The previous prime is 76819399. The next prime is 76819411. The reversal of 76819400 is 491867.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51059 + ... + 52541.

It is an arithmetic number, because the mean of its divisors is an integer number (2185190).

Almost surely, 2^76819400 is an apocalyptic number.

76819400 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 76819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104889120).

76819400 is an abundant number, since it is smaller than the sum of its proper divisors (132958840).

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

76819400 is a wasteful number, since it uses less digits than its factorization.

76819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 76819400 is about 8764.6677061940. The cubic root of 76819400 is about 425.0992155908.

The spelling of 76819400 in words is "seventy-six million, eight hundred nineteen thousand, four hundred".