761472000 has 264 divisors, whose sum is σ = 2748171192. Its totient is φ = 202752000.

The previous prime is 761471989. The next prime is 761472001. The reversal of 761472000 is 274167.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 759112704 = 1536^2 + 27552^2 .

It is not an unprimeable number, because it can be changed into a prime (761472001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151670 + ... + 1152330.

Almost surely, 2^761472000 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 761472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374085596).

761472000 is an abundant number, since it is smaller than the sum of its proper divisors (1986699192).

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

761472000 is a wasteful number, since it uses less digits than its factorization.

761472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 761472000 is about 27594.7821154652. The cubic root of 761472000 is about 913.1693219031.

The spelling of 761472000 in words is "seven hundred sixty-one million, four hundred seventy-two thousand".