760838400 has 864 divisors, whose sum is σ = 3467278080. Its totient is φ = 159252480.

The previous prime is 760838347. The next prime is 760838401. The reversal of 760838400 is 4838067.

760838400 is a `hidden beast` number, since 7 + 608 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (760838401) 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 95 ways as a sum of consecutive naturals, for example, 20563182 + ... + 20563218.

Almost surely, 2^760838400 is an apocalyptic number.

760838400 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 760838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

760838400 is an abundant number, since it is smaller than the sum of its proper divisors (2706439680).

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

760838400 is a wasteful number, since it uses less digits than its factorization.

760838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 760838400 is about 27583.2992950445. The cubic root of 760838400 is about 912.9159772271.

It can be divided in two parts, 760 and 838400, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 760838400 in words is "seven hundred sixty million, eight hundred thirty-eight thousand, four hundred".