7754125680 has 640 divisors, whose sum is σ = 32757903360. Its totient is φ = 1645608960.

The previous prime is 7754125679. The next prime is 7754125693. The reversal of 7754125680 is 865214577.

7754125680 is a `hidden beast` number, since 7 + 7 + 541 + 25 + 6 + 80 = 666.

It is a super-2 number, since 2×7754125680² (a number of 21 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24932725 + ... + 24933035.

It is an arithmetic number, because the mean of its divisors is an integer number (51184224).

Almost surely, 2^7754125680 is an apocalyptic number.

7754125680 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 7754125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

7754125680 is an abundant number, since it is smaller than the sum of its proper divisors (25003777680).

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

7754125680 is a wasteful number, since it uses less digits than its factorization.

7754125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 7754125680 is about 88057.5134784080. The cubic root of 7754125680 is about 1979.2969037124.

The spelling of 7754125680 in words is "seven billion, seven hundred fifty-four million, one hundred twenty-five thousand, six hundred eighty".