766477404000 has 3456 divisors, whose sum is σ = 3806345088000. Its totient is φ = 150885504000.

The previous prime is 766477403977. The next prime is 766477404037. The reversal of 766477404000 is 404774667.

It is a super-2 number, since 2×766477404000² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40340915991 + ... + 40340916009.

It is an arithmetic number, because the mean of its divisors is an integer number (1101373000).

Almost surely, 2^766477404000 is an apocalyptic number.

766477404000 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 766477404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903172544000).

766477404000 is an abundant number, since it is smaller than the sum of its proper divisors (3039867684000).

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

766477404000 is a wasteful number, since it uses less digits than its factorization.

766477404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 766477404000 in words is "seven hundred sixty-six billion, four hundred seventy-seven million, four hundred four thousand".