761266000 has 80 divisors (see below), whose sum is σ = 2008139328. Its totient is φ = 276816000.

The previous prime is 761265997. The next prime is 761266007. The reversal of 761266000 is 662167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×761266000³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 761266000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761266007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699 + ... + 39301.

Almost surely, 2^761266000 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 761266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004069664).

761266000 is an abundant number, since it is smaller than the sum of its proper divisors (1246873328).

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

761266000 is a wasteful number, since it uses less digits than its factorization.

761266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34637 (or 34621 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 761266000 is about 27591.0492732698. The cubic root of 761266000 is about 913.0869683185.

The spelling of 761266000 in words is "seven hundred sixty-one million, two hundred sixty-six thousand".