761998800 has 180 divisors, whose sum is σ = 2577632640. Its totient is φ = 192395520.

The previous prime is 761998793. The next prime is 761998807. The reversal of 761998800 is 8899167.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (761998793) and next prime (761998807).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 761998800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761998807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432321 + ... + 434079.

Almost surely, 2^761998800 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 761998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288816320).

761998800 is an abundant number, since it is smaller than the sum of its proper divisors (1815633840).

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

761998800 is a wasteful number, since it uses less digits than its factorization.

761998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 761998800 is about 27604.3257479693. The cubic root of 761998800 is about 913.3798556704.

The spelling of 761998800 in words is "seven hundred sixty-one million, nine hundred ninety-eight thousand, eight hundred".