766465700 has 432 divisors, whose sum is σ = 2439843840. Its totient is φ = 202176000.

The previous prime is 766465697. The next prime is 766465751. The reversal of 766465700 is 7564667.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24724685 + ... + 24724715.

Almost surely, 2^766465700 is an apocalyptic number.

766465700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219921920).

766465700 is an abundant number, since it is smaller than the sum of its proper divisors (1673378140).

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

766465700 is a wasteful number, since it uses less digits than its factorization.

766465700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 766465700 is about 27685.1169403346. The cubic root of 766465700 is about 915.1611489189.

The spelling of 766465700 in words is "seven hundred sixty-six million, four hundred sixty-five thousand, seven hundred".