72770880000 has 1600 divisors, whose sum is σ = 322141881600. Its totient is φ = 14450688000.

The previous prime is 72770879933. The next prime is 72770880037. The reversal of 72770880000 is 8807727.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4280639992 + ... + 4280640008.

It is an arithmetic number, because the mean of its divisors is an integer number (201338676).

Almost surely, 2^72770880000 is an apocalyptic number.

72770880000 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 72770880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161070940800).

72770880000 is an abundant number, since it is smaller than the sum of its proper divisors (249371001600).

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

72770880000 is an equidigital number, since it uses as much as digits as its factorization.

72770880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

It can be divided in two parts, 727708 and 80000, that added together give a palindrome (807708).

The spelling of 72770880000 in words is "seventy-two billion, seven hundred seventy million, eight hundred eighty thousand".