766022400 has 864 divisors, whose sum is σ = 3406448640. Its totient is φ = 165888000.

The previous prime is 766022399. The next prime is 766022417. The reversal of 766022400 is 4220667.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24710385 + ... + 24710415.

Almost surely, 2^766022400 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 766022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703224320).

766022400 is an abundant number, since it is smaller than the sum of its proper divisors (2640426240).

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

766022400 is a wasteful number, since it uses less digits than its factorization.

766022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 766022400 is about 27677.1096756869. The cubic root of 766022400 is about 914.9846812808.

The spelling of 766022400 in words is "seven hundred sixty-six million, twenty-two thousand, four hundred".