760736400 has 240 divisors, whose sum is σ = 2615457600. Its totient is φ = 188334080.

The previous prime is 760736393. The next prime is 760736419. The reversal of 760736400 is 4637067.

760736400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×760736400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815391 + ... + 1815809.

It is an arithmetic number, because the mean of its divisors is an integer number (10897740).

Almost surely, 2^760736400 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 760736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307728800).

760736400 is an abundant number, since it is smaller than the sum of its proper divisors (1854721200).

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

760736400 is a wasteful number, since it uses less digits than its factorization.

760736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 760736400 is about 27581.4502881919. The cubic root of 760736400 is about 912.8751794304.

The spelling of 760736400 in words is "seven hundred sixty million, seven hundred thirty-six thousand, four hundred".