77490665280000 has 4000 divisors, whose sum is σ = 356380961587200. Its totient is φ = 16368168960000.

The previous prime is 77490665279953. The next prime is 77490665280013. The reversal of 77490665280000 is 8256609477.

77490665280000 is a `hidden beast` number, since 77 + 49 + 0 + 6 + 6 + 528 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 129366719701 + ... + 129366720299.

Almost surely, 2^{77490665280000} is an apocalyptic number.

77490665280000 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 77490665280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178190480793600).

77490665280000 is an abundant number, since it is smaller than the sum of its proper divisors (278890296307200).

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

77490665280000 is an equidigital number, since it uses as much as digits as its factorization.

77490665280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77490665280000 in words is "seventy-seven trillion, four hundred ninety billion, six hundred sixty-five million, two hundred eighty thousand".