763578480 has 160 divisors (see below), whose sum is σ = 2749966848. Its totient is φ = 171648000.

The previous prime is 763578469. The next prime is 763578481. The reversal of 763578480 is 84875367.

It is a super-2 number, since 2×763578480² = 1166104190238220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763578481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98755 + ... + 106205.

Almost surely, 2^763578480 is an apocalyptic number.

763578480 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 763578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374983424).

763578480 is an abundant number, since it is smaller than the sum of its proper divisors (1986388368).

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

763578480 is a wasteful number, since it uses less digits than its factorization.

763578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 763578480 is about 27632.9238409547. The cubic root of 763578480 is about 914.0105880695.

The spelling of 763578480 in words is "seven hundred sixty-three million, five hundred seventy-eight thousand, four hundred eighty".