766470400 has 216 divisors, whose sum is σ = 2043869184. Its totient is φ = 283852800.

The previous prime is 766470373. The next prime is 766470409. The reversal of 766470400 is 4074667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766470409) 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, 6035137 + ... + 6035263.

Almost surely, 2^766470400 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 766470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021934592).

766470400 is an abundant number, since it is smaller than the sum of its proper divisors (1277398784).

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

766470400 is a wasteful number, since it uses less digits than its factorization.

766470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 766470400 is about 27685.2018233568. The cubic root of 766470400 is about 915.1630195174.

The spelling of 766470400 in words is "seven hundred sixty-six million, four hundred seventy thousand, four hundred".