771152480 has 96 divisors (see below), whose sum is σ = 2096539200. Its totient is φ = 262563840.

The previous prime is 771152471. The next prime is 771152489. The reversal of 771152480 is 84251177.

It is an interprime number because it is at equal distance from previous prime (771152471) and next prime (771152489).

It is a super-2 number, since 2×771152480² = 1189352294820300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 771152480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771152489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164570 + ... + 169190.

It is an arithmetic number, because the mean of its divisors is an integer number (21838950).

Almost surely, 2^771152480 is an apocalyptic number.

771152480 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 771152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048269600).

771152480 is an abundant number, since it is smaller than the sum of its proper divisors (1325386720).

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

771152480 is a wasteful number, since it uses less digits than its factorization.

771152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 771152480 is about 27769.6323346205. The cubic root of 771152480 is about 917.0227004128.

The spelling of 771152480 in words is "seven hundred seventy-one million, one hundred fifty-two thousand, four hundred eighty".