766650087000 has 384 divisors, whose sum is σ = 2976390144000. Its totient is φ = 174350880000.

The previous prime is 766650086947. The next prime is 766650087023. The reversal of 766650087000 is 780056667.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12506425 + ... + 12567575.

It is an arithmetic number, because the mean of its divisors is an integer number (7751016000).

Almost surely, 2^766650087000 is an apocalyptic number.

766650087000 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 766650087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488195072000).

766650087000 is an abundant number, since it is smaller than the sum of its proper divisors (2209740057000).

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

766650087000 is a wasteful number, since it uses less digits than its factorization.

766650087000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61384 (or 61367 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 766650087000 in words is "seven hundred sixty-six billion, six hundred fifty million, eighty-seven thousand".