75772060000 has 960 divisors, whose sum is σ = 253934714880. Its totient is φ = 21565440000.

The previous prime is 75772059997. The next prime is 75772060003. The reversal of 75772060000 is 6027757.

It is an interprime number because it is at equal distance from previous prime (75772059997) and next prime (75772060003).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75772060003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 959139961 + ... + 959140039.

It is an arithmetic number, because the mean of its divisors is an integer number (264515328).

Almost surely, 2^75772060000 is an apocalyptic number.

75772060000 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 75772060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126967357440).

75772060000 is an abundant number, since it is smaller than the sum of its proper divisors (178162654880).

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

75772060000 is a wasteful number, since it uses less digits than its factorization.

75772060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

Adding to 75772060000 its reverse (6027757), we get a palindrome (75778087757).

The spelling of 75772060000 in words is "seventy-five billion, seven hundred seventy-two million, sixty thousand".