7951157760 has 640 divisors, whose sum is σ = 32381927424. Its totient is φ = 1619066880.

The previous prime is 7951157759. The next prime is 7951157761. The reversal of 7951157760 is 677511597.

It is an interprime number because it is at equal distance from previous prime (7951157759) and next prime (7951157761).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7951157761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665097 + ... + 21665463.

Almost surely, 2^7951157760 is an apocalyptic number.

7951157760 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 7951157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190963712).

7951157760 is an abundant number, since it is smaller than the sum of its proper divisors (24430769664).

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

7951157760 is a wasteful number, since it uses less digits than its factorization.

7951157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 48.

The square root of 7951157760 is about 89169.2646599713. The cubic root of 7951157760 is about 1995.9215019135.

The spelling of 7951157760 in words is "seven billion, nine hundred fifty-one million, one hundred fifty-seven thousand, seven hundred sixty".