7200077760000 has 300 divisors, whose sum is σ = 25966588322532. Its totient is φ = 1920019968000.

The previous prime is 7200077759999. The next prime is 7200077760017. The reversal of 7200077760000 is 677700027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×7200077760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1629987 + ... + 4130013.

Almost surely, 2^{7200077760000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7200077760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983294161266).

7200077760000 is an abundant number, since it is smaller than the sum of its proper divisors (18766510562532).

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

7200077760000 is an equidigital number, since it uses as much as digits as its factorization.

7200077760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500071 (or 2500037 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 7200077760000 in words is "seven trillion, two hundred billion, seventy-seven million, seven hundred sixty thousand".