766153890 has 80 divisors (see below), whose sum is σ = 2064744000. Its totient is φ = 203847840.

The previous prime is 766153889. The next prime is 766153901. The reversal of 766153890 is 98351667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510361 + ... + 511859.

It is an arithmetic number, because the mean of its divisors is an integer number (25809300).

Almost surely, 2^766153890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766153890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032372000).

766153890 is an abundant number, since it is smaller than the sum of its proper divisors (1298590110).

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

766153890 is a wasteful number, since it uses less digits than its factorization.

766153890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 766153890 is about 27679.4850024346. The cubic root of 766153890 is about 915.0370315569.

The spelling of 766153890 in words is "seven hundred sixty-six million, one hundred fifty-three thousand, eight hundred ninety".