78177960 has 224 divisors, whose sum is σ = 302192640. Its totient is φ = 17822592.

The previous prime is 78177947. The next prime is 78177971. The reversal of 78177960 is 6977187.

It is a happy number.

It is a super-2 number, since 2×78177960² = 12223586859523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203929 + ... + 204311.

Almost surely, 2^78177960 is an apocalyptic number.

78177960 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 78177960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151096320).

78177960 is an abundant number, since it is smaller than the sum of its proper divisors (224014680).

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

78177960 is a wasteful number, since it uses less digits than its factorization.

78177960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 78177960 is about 8841.8301272983. The cubic root of 78177960 is about 427.5905625311.

The spelling of 78177960 in words is "seventy-eight million, one hundred seventy-seven thousand, nine hundred sixty".