761400000 has 420 divisors, whose sum is σ = 2881128096. Its totient is φ = 198720000.

The previous prime is 761399957. The next prime is 761400019. The reversal of 761400000 is 4167.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 16199977 + ... + 16200023.

Almost surely, 2^761400000 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 761400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440564048).

761400000 is an abundant number, since it is smaller than the sum of its proper divisors (2119728096).

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

761400000 is an frugal number, since it uses more digits than its factorization.

761400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 761400000 is about 27593.4774901606. The cubic root of 761400000 is about 913.1405398146.

Adding to 761400000 its reverse (4167), we get a palindrome (761404167).

The spelling of 761400000 in words is "seven hundred sixty-one million, four hundred thousand".