78354760 has 48 divisors (see below), whose sum is σ = 193794300. Its totient is φ = 28490880.

The previous prime is 78354737. The next prime is 78354761. The reversal of 78354760 is 6745387.

It can be written as a sum of positive squares in 2 ways, for example, as 77827684 + 527076 = 8822^2 + 726^2 .

It is a super-2 number, since 2×78354760² = 12278936829315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (78354761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3255 + ... + 12934.

Almost surely, 2^78354760 is an apocalyptic number.

It is an amenable number.

78354760 is an abundant number, since it is smaller than the sum of its proper divisors (115439540).

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

78354760 is a wasteful number, since it uses less digits than its factorization.

78354760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16222 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 78354760 is about 8851.8224112326. The cubic root of 78354760 is about 427.9126528597.

The spelling of 78354760 in words is "seventy-eight million, three hundred fifty-four thousand, seven hundred sixty".