766007004 has 144 divisors (see below), whose sum is σ = 2159311392. Its totient is φ = 210567168.

The previous prime is 766006981. The next prime is 766007017. The reversal of 766007004 is 400700667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2980444 + ... + 2980700.

It is an arithmetic number, because the mean of its divisors is an integer number (14995218).

Almost surely, 2^766007004 is an apocalyptic number.

766007004 is a gapful number since it is divisible by the number (74) 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 766007004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079655696).

766007004 is an abundant number, since it is smaller than the sum of its proper divisors (1393304388).

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

766007004 is a wasteful number, since it uses less digits than its factorization.

766007004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 766007004 is about 27676.8315383102. The cubic root of 766007004 is about 914.9785512605.

The spelling of 766007004 in words is "seven hundred sixty-six million, seven thousand, four".