766451130 has 64 divisors (see below), whose sum is σ = 1945230336. Its totient is φ = 192960000.

The previous prime is 766451113. The next prime is 766451131. The reversal of 766451130 is 31154667.

It is a junction number, because it is equal to n+sod(n) for n = 766451091 and 766451100.

It is not an unprimeable number, because it can be changed into a prime (766451131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28080 + ... + 48180.

It is an arithmetic number, because the mean of its divisors is an integer number (30394224).

Almost surely, 2^766451130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766451130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972615168).

766451130 is an abundant number, since it is smaller than the sum of its proper divisors (1178779206).

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

766451130 is a wasteful number, since it uses less digits than its factorization.

766451130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20183.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 766451130 is about 27684.8538013116. The cubic root of 766451130 is about 915.1553500152.

The spelling of 766451130 in words is "seven hundred sixty-six million, four hundred fifty-one thousand, one hundred thirty".