761280000 has 400 divisors, whose sum is σ = 2773999536. Its totient is φ = 184320000.

The previous prime is 761279999. The next prime is 761280001. The reversal of 761280000 is 82167.

It is an interprime number because it is at equal distance from previous prime (761279999) and next prime (761280001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479970 + ... + 12480030.

Almost surely, 2^761280000 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 761280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386999768).

761280000 is an abundant number, since it is smaller than the sum of its proper divisors (2012719536).

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

761280000 is an equidigital number, since it uses as much as digits as its factorization.

761280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 761280000 is about 27591.3029775689. The cubic root of 761280000 is about 913.0925656346.

The spelling of 761280000 in words is "seven hundred sixty-one million, two hundred eighty thousand".